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Finding the Fourth Proportional to 10,902.50, 15,045.91 and 6,187.22

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Solution

The fourth proportional to 10,902.50, 15,045.91 and 6,187.22 is: 8,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.50 : 15,045.91 = 6,187.22 : x
  2. Step 2: Convert to fraction form
    10,902.50/15,045.91 = 6,187.22/x
  3. Step 3: Cross multiply
    10,902.50x = 15,045.91 × 6,187.22
  4. Step 4: Simplify right side
    10,902.50x = 93,092,355.27
  5. Step 5: Solve for x
    x = 93,092,355.27/10,902.50
  6. Step 6: Final answer
    x = 8,538.62

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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.