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Finding the Fourth Proportional to 8,742.40, 13,116.84 and 4,064.92

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Solution

The fourth proportional to 8,742.40, 13,116.84 and 4,064.92 is: 6,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.40 : 13,116.84 = 4,064.92 : x
  2. Step 2: Convert to fraction form
    8,742.40/13,116.84 = 4,064.92/x
  3. Step 3: Cross multiply
    8,742.40x = 13,116.84 × 4,064.92
  4. Step 4: Simplify right side
    8,742.40x = 53,318,819.34
  5. Step 5: Solve for x
    x = 53,318,819.34/8,742.40
  6. Step 6: Final answer
    x = 6,098.88

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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.