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Finding the Fourth Proportional to 8,320,714.80, 12,462,409.80 and 6,827,722.80

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Solution

The fourth proportional to 8,320,714.80, 12,462,409.80 and 6,827,722.80 is: 10,226,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320,714.80 : 12,462,409.80 = 6,827,722.80 : x
  2. Step 2: Convert to fraction form
    8,320,714.80/12,462,409.80 = 6,827,722.80/x
  3. Step 3: Cross multiply
    8,320,714.80x = 12,462,409.80 × 6,827,722.80
  4. Step 4: Simplify right side
    8,320,714.80x = 85,089,879,534,403.44
  5. Step 5: Solve for x
    x = 85,089,879,534,403.44/8,320,714.80
  6. Step 6: Final answer
    x = 10,226,270.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.