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Finding the Fourth Proportional to 6,987.57, 10,479.13 and 2,306.70

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Solution

The fourth proportional to 6,987.57, 10,479.13 and 2,306.70 is: 3,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.57 : 10,479.13 = 2,306.70 : x
  2. Step 2: Convert to fraction form
    6,987.57/10,479.13 = 2,306.70/x
  3. Step 3: Cross multiply
    6,987.57x = 10,479.13 × 2,306.70
  4. Step 4: Simplify right side
    6,987.57x = 24,172,209.17
  5. Step 5: Solve for x
    x = 24,172,209.17/6,987.57
  6. Step 6: Final answer
    x = 3,459.32

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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.