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Finding the Fourth Proportional to 10,571.29, 15,864.63 and 8,516.12

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Solution

The fourth proportional to 10,571.29, 15,864.63 and 8,516.12 is: 12,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.29 : 15,864.63 = 8,516.12 : x
  2. Step 2: Convert to fraction form
    10,571.29/15,864.63 = 8,516.12/x
  3. Step 3: Cross multiply
    10,571.29x = 15,864.63 × 8,516.12
  4. Step 4: Simplify right side
    10,571.29x = 135,104,981.58
  5. Step 5: Solve for x
    x = 135,104,981.58/10,571.29
  6. Step 6: Final answer
    x = 12,780.37

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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.