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Finding the Fourth Proportional to 8,170.82, 12,274.45 and 5,053.12

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Solution

The fourth proportional to 8,170.82, 12,274.45 and 5,053.12 is: 7,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.82 : 12,274.45 = 5,053.12 : x
  2. Step 2: Convert to fraction form
    8,170.82/12,274.45 = 5,053.12/x
  3. Step 3: Cross multiply
    8,170.82x = 12,274.45 × 5,053.12
  4. Step 4: Simplify right side
    8,170.82x = 62,024,268.78
  5. Step 5: Solve for x
    x = 62,024,268.78/8,170.82
  6. Step 6: Final answer
    x = 7,590.95

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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.