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Finding the Fourth Proportional to 8,284.57, 11,432.71 and 4,508.04

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Solution

The fourth proportional to 8,284.57, 11,432.71 and 4,508.04 is: 6,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.57 : 11,432.71 = 4,508.04 : x
  2. Step 2: Convert to fraction form
    8,284.57/11,432.71 = 4,508.04/x
  3. Step 3: Cross multiply
    8,284.57x = 11,432.71 × 4,508.04
  4. Step 4: Simplify right side
    8,284.57x = 51,539,113.99
  5. Step 5: Solve for x
    x = 51,539,113.99/8,284.57
  6. Step 6: Final answer
    x = 6,221.10

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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.