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Finding the Fourth Proportional to 8,713.87, 12,023.58 and 5,177.95

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Solution

The fourth proportional to 8,713.87, 12,023.58 and 5,177.95 is: 7,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.87 : 12,023.58 = 5,177.95 : x
  2. Step 2: Convert to fraction form
    8,713.87/12,023.58 = 5,177.95/x
  3. Step 3: Cross multiply
    8,713.87x = 12,023.58 × 5,177.95
  4. Step 4: Simplify right side
    8,713.87x = 62,257,496.06
  5. Step 5: Solve for x
    x = 62,257,496.06/8,713.87
  6. Step 6: Final answer
    x = 7,144.64

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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.