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Finding the Fourth Proportional to 6,478.53, 9,711.99 and 2,527.13

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Solution

The fourth proportional to 6,478.53, 9,711.99 and 2,527.13 is: 3,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.53 : 9,711.99 = 2,527.13 : x
  2. Step 2: Convert to fraction form
    6,478.53/9,711.99 = 2,527.13/x
  3. Step 3: Cross multiply
    6,478.53x = 9,711.99 × 2,527.13
  4. Step 4: Simplify right side
    6,478.53x = 24,543,412.73
  5. Step 5: Solve for x
    x = 24,543,412.73/6,478.53
  6. Step 6: Final answer
    x = 3,788.42

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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.