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Finding the Fourth Proportional to 10,601.70, 15,902.55 and 6,911.15

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Solution

The fourth proportional to 10,601.70, 15,902.55 and 6,911.15 is: 10,366.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.70 : 15,902.55 = 6,911.15 : x
  2. Step 2: Convert to fraction form
    10,601.70/15,902.55 = 6,911.15/x
  3. Step 3: Cross multiply
    10,601.70x = 15,902.55 × 6,911.15
  4. Step 4: Simplify right side
    10,601.70x = 109,904,828.92
  5. Step 5: Solve for x
    x = 109,904,828.92/10,601.70
  6. Step 6: Final answer
    x = 10,366.72

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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.