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Finding the Fourth Proportional to 10,412.74, 15,593.16 and 8,689.06

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Solution

The fourth proportional to 10,412.74, 15,593.16 and 8,689.06 is: 13,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.74 : 15,593.16 = 8,689.06 : x
  2. Step 2: Convert to fraction form
    10,412.74/15,593.16 = 8,689.06/x
  3. Step 3: Cross multiply
    10,412.74x = 15,593.16 × 8,689.06
  4. Step 4: Simplify right side
    10,412.74x = 135,489,902.83
  5. Step 5: Solve for x
    x = 135,489,902.83/10,412.74
  6. Step 6: Final answer
    x = 13,011.94

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