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Finding the Fourth Proportional to 10,299.62, 15,447.06 and 6,140.80

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Solution

The fourth proportional to 10,299.62, 15,447.06 and 6,140.80 is: 9,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.62 : 15,447.06 = 6,140.80 : x
  2. Step 2: Convert to fraction form
    10,299.62/15,447.06 = 6,140.80/x
  3. Step 3: Cross multiply
    10,299.62x = 15,447.06 × 6,140.80
  4. Step 4: Simplify right side
    10,299.62x = 94,857,306.05
  5. Step 5: Solve for x
    x = 94,857,306.05/10,299.62
  6. Step 6: Final answer
    x = 9,209.79

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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.