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Finding the Fourth Proportional to 8,507.54, 12,759.01 and 5,382.86

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Solution

The fourth proportional to 8,507.54, 12,759.01 and 5,382.86 is: 8,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.54 : 12,759.01 = 5,382.86 : x
  2. Step 2: Convert to fraction form
    8,507.54/12,759.01 = 5,382.86/x
  3. Step 3: Cross multiply
    8,507.54x = 12,759.01 × 5,382.86
  4. Step 4: Simplify right side
    8,507.54x = 68,679,887.32
  5. Step 5: Solve for x
    x = 68,679,887.32/8,507.54
  6. Step 6: Final answer
    x = 8,072.82

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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.