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Finding the Fourth Proportional to 8,739.86, 12,122.80 and 8,424.63

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Solution

The fourth proportional to 8,739.86, 12,122.80 and 8,424.63 is: 11,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.86 : 12,122.80 = 8,424.63 : x
  2. Step 2: Convert to fraction form
    8,739.86/12,122.80 = 8,424.63/x
  3. Step 3: Cross multiply
    8,739.86x = 12,122.80 × 8,424.63
  4. Step 4: Simplify right side
    8,739.86x = 102,130,117.60
  5. Step 5: Solve for x
    x = 102,130,117.60/8,739.86
  6. Step 6: Final answer
    x = 11,685.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.