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Finding the Fourth Proportional to 10,902.48, 15,046.20 and 6,187.07

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Solution

The fourth proportional to 10,902.48, 15,046.20 and 6,187.07 is: 8,538.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.48 : 15,046.20 = 6,187.07 : x
  2. Step 2: Convert to fraction form
    10,902.48/15,046.20 = 6,187.07/x
  3. Step 3: Cross multiply
    10,902.48x = 15,046.20 × 6,187.07
  4. Step 4: Simplify right side
    10,902.48x = 93,091,817.40
  5. Step 5: Solve for x
    x = 93,091,817.40/10,902.48
  6. Step 6: Final answer
    x = 8,538.59

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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.