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Finding the Fourth Proportional to 8,129.84, 12,193.88 and 5,514.13

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Solution

The fourth proportional to 8,129.84, 12,193.88 and 5,514.13 is: 8,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.84 : 12,193.88 = 5,514.13 : x
  2. Step 2: Convert to fraction form
    8,129.84/12,193.88 = 5,514.13/x
  3. Step 3: Cross multiply
    8,129.84x = 12,193.88 × 5,514.13
  4. Step 4: Simplify right side
    8,129.84x = 67,238,627.20
  5. Step 5: Solve for x
    x = 67,238,627.20/8,129.84
  6. Step 6: Final answer
    x = 8,270.60

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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.