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Finding the Fourth Proportional to 10,281.60, 15,400.80 and 5,659.20

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Solution

The fourth proportional to 10,281.60, 15,400.80 and 5,659.20 is: 8,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.60 : 15,400.80 = 5,659.20 : x
  2. Step 2: Convert to fraction form
    10,281.60/15,400.80 = 5,659.20/x
  3. Step 3: Cross multiply
    10,281.60x = 15,400.80 × 5,659.20
  4. Step 4: Simplify right side
    10,281.60x = 87,156,207.36
  5. Step 5: Solve for x
    x = 87,156,207.36/10,281.60
  6. Step 6: Final answer
    x = 8,476.91

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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.