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Finding the Fourth Proportional to 10,072.16, 15,108.17 and 3,916.16

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Solution

The fourth proportional to 10,072.16, 15,108.17 and 3,916.16 is: 5,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.16 : 15,108.17 = 3,916.16 : x
  2. Step 2: Convert to fraction form
    10,072.16/15,108.17 = 3,916.16/x
  3. Step 3: Cross multiply
    10,072.16x = 15,108.17 × 3,916.16
  4. Step 4: Simplify right side
    10,072.16x = 59,165,945.28
  5. Step 5: Solve for x
    x = 59,165,945.28/10,072.16
  6. Step 6: Final answer
    x = 5,874.21

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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.