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Finding the Fourth Proportional to 10,531.10, 14,515.91 and 9,164.87

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Solution

The fourth proportional to 10,531.10, 14,515.91 and 9,164.87 is: 12,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.10 : 14,515.91 = 9,164.87 : x
  2. Step 2: Convert to fraction form
    10,531.10/14,515.91 = 9,164.87/x
  3. Step 3: Cross multiply
    10,531.10x = 14,515.91 × 9,164.87
  4. Step 4: Simplify right side
    10,531.10x = 133,036,309.68
  5. Step 5: Solve for x
    x = 133,036,309.68/10,531.10
  6. Step 6: Final answer
    x = 12,632.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.