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Finding the Fourth Proportional to 8,720.34, 12,037.74 and 5,891.56

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Solution

The fourth proportional to 8,720.34, 12,037.74 and 5,891.56 is: 8,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.34 : 12,037.74 = 5,891.56 : x
  2. Step 2: Convert to fraction form
    8,720.34/12,037.74 = 5,891.56/x
  3. Step 3: Cross multiply
    8,720.34x = 12,037.74 × 5,891.56
  4. Step 4: Simplify right side
    8,720.34x = 70,921,067.47
  5. Step 5: Solve for x
    x = 70,921,067.47/8,720.34
  6. Step 6: Final answer
    x = 8,132.83

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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.