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Finding the Fourth Proportional to 8,097.32, 12,139.26 and 5,636.93

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Solution

The fourth proportional to 8,097.32, 12,139.26 and 5,636.93 is: 8,450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.32 : 12,139.26 = 5,636.93 : x
  2. Step 2: Convert to fraction form
    8,097.32/12,139.26 = 5,636.93/x
  3. Step 3: Cross multiply
    8,097.32x = 12,139.26 × 5,636.93
  4. Step 4: Simplify right side
    8,097.32x = 68,428,158.87
  5. Step 5: Solve for x
    x = 68,428,158.87/8,097.32
  6. Step 6: Final answer
    x = 8,450.72

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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.