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Finding the Fourth Proportional to 5,954,762.80, 8,932,144.20 and 5,405,607.10

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Solution

The fourth proportional to 5,954,762.80, 8,932,144.20 and 5,405,607.10 is: 8,108,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954,762.80 : 8,932,144.20 = 5,405,607.10 : x
  2. Step 2: Convert to fraction form
    5,954,762.80/8,932,144.20 = 5,405,607.10/x
  3. Step 3: Cross multiply
    5,954,762.80x = 8,932,144.20 × 5,405,607.10
  4. Step 4: Simplify right side
    5,954,762.80x = 48,283,662,105,743.81
  5. Step 5: Solve for x
    x = 48,283,662,105,743.81/5,954,762.80
  6. Step 6: Final answer
    x = 8,108,410.65

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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.