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Finding the Fourth Proportional to 10,591.97, 15,894.23 and 4,023.68

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Solution

The fourth proportional to 10,591.97, 15,894.23 and 4,023.68 is: 6,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.97 : 15,894.23 = 4,023.68 : x
  2. Step 2: Convert to fraction form
    10,591.97/15,894.23 = 4,023.68/x
  3. Step 3: Cross multiply
    10,591.97x = 15,894.23 × 4,023.68
  4. Step 4: Simplify right side
    10,591.97x = 63,953,195.78
  5. Step 5: Solve for x
    x = 63,953,195.78/10,591.97
  6. Step 6: Final answer
    x = 6,037.90

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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.