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Finding the Fourth Proportional to 10,102.72, 13,937.98 and 10,087.14

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Solution

The fourth proportional to 10,102.72, 13,937.98 and 10,087.14 is: 13,916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.72 : 13,937.98 = 10,087.14 : x
  2. Step 2: Convert to fraction form
    10,102.72/13,937.98 = 10,087.14/x
  3. Step 3: Cross multiply
    10,102.72x = 13,937.98 × 10,087.14
  4. Step 4: Simplify right side
    10,102.72x = 140,594,305.14
  5. Step 5: Solve for x
    x = 140,594,305.14/10,102.72
  6. Step 6: Final answer
    x = 13,916.49

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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.