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Finding the Fourth Proportional to 6,478.08, 9,711.72 and 2,780.16

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Solution

The fourth proportional to 6,478.08, 9,711.72 and 2,780.16 is: 4,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.08 : 9,711.72 = 2,780.16 : x
  2. Step 2: Convert to fraction form
    6,478.08/9,711.72 = 2,780.16/x
  3. Step 3: Cross multiply
    6,478.08x = 9,711.72 × 2,780.16
  4. Step 4: Simplify right side
    6,478.08x = 27,000,135.48
  5. Step 5: Solve for x
    x = 27,000,135.48/6,478.08
  6. Step 6: Final answer
    x = 4,167.92

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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.