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Finding the Fourth Proportional to 6,987.60, 10,472.49 and 3,281.66

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Solution

The fourth proportional to 6,987.60, 10,472.49 and 3,281.66 is: 4,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.60 : 10,472.49 = 3,281.66 : x
  2. Step 2: Convert to fraction form
    6,987.60/10,472.49 = 3,281.66/x
  3. Step 3: Cross multiply
    6,987.60x = 10,472.49 × 3,281.66
  4. Step 4: Simplify right side
    6,987.60x = 34,367,099.17
  5. Step 5: Solve for x
    x = 34,367,099.17/6,987.60
  6. Step 6: Final answer
    x = 4,918.30

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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.