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Finding the Fourth Proportional to 10,902.87, 15,046.16 and 6,186.65

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Solution

The fourth proportional to 10,902.87, 15,046.16 and 6,186.65 is: 8,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.87 : 15,046.16 = 6,186.65 : x
  2. Step 2: Convert to fraction form
    10,902.87/15,046.16 = 6,186.65/x
  3. Step 3: Cross multiply
    10,902.87x = 15,046.16 × 6,186.65
  4. Step 4: Simplify right side
    10,902.87x = 93,085,219.60
  5. Step 5: Solve for x
    x = 93,085,219.60/10,902.87
  6. Step 6: Final answer
    x = 8,537.68

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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.