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Finding the Fourth Proportional to 10,092.35, 15,138.53 and 6,410.90

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Solution

The fourth proportional to 10,092.35, 15,138.53 and 6,410.90 is: 9,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.35 : 15,138.53 = 6,410.90 : x
  2. Step 2: Convert to fraction form
    10,092.35/15,138.53 = 6,410.90/x
  3. Step 3: Cross multiply
    10,092.35x = 15,138.53 × 6,410.90
  4. Step 4: Simplify right side
    10,092.35x = 97,051,569.92
  5. Step 5: Solve for x
    x = 97,051,569.92/10,092.35
  6. Step 6: Final answer
    x = 9,616.35

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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.