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Finding the Fourth Proportional to 8,512.76, 12,771.22 and 5,005.02

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Solution

The fourth proportional to 8,512.76, 12,771.22 and 5,005.02 is: 7,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.76 : 12,771.22 = 5,005.02 : x
  2. Step 2: Convert to fraction form
    8,512.76/12,771.22 = 5,005.02/x
  3. Step 3: Cross multiply
    8,512.76x = 12,771.22 × 5,005.02
  4. Step 4: Simplify right side
    8,512.76x = 63,920,211.52
  5. Step 5: Solve for x
    x = 63,920,211.52/8,512.76
  6. Step 6: Final answer
    x = 7,508.75

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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.