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Finding the Fourth Proportional to 8,281.14, 11,432.20 and 6,388.47

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Solution

The fourth proportional to 8,281.14, 11,432.20 and 6,388.47 is: 8,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.14 : 11,432.20 = 6,388.47 : x
  2. Step 2: Convert to fraction form
    8,281.14/11,432.20 = 6,388.47/x
  3. Step 3: Cross multiply
    8,281.14x = 11,432.20 × 6,388.47
  4. Step 4: Simplify right side
    8,281.14x = 73,034,271.72
  5. Step 5: Solve for x
    x = 73,034,271.72/8,281.14
  6. Step 6: Final answer
    x = 8,819.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.