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Finding the Fourth Proportional to 10,713.78, 16,070.29 and 2,816.17

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Solution

The fourth proportional to 10,713.78, 16,070.29 and 2,816.17 is: 4,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.78 : 16,070.29 = 2,816.17 : x
  2. Step 2: Convert to fraction form
    10,713.78/16,070.29 = 2,816.17/x
  3. Step 3: Cross multiply
    10,713.78x = 16,070.29 × 2,816.17
  4. Step 4: Simplify right side
    10,713.78x = 45,256,627.90
  5. Step 5: Solve for x
    x = 45,256,627.90/10,713.78
  6. Step 6: Final answer
    x = 4,224.15

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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.