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Finding the Fourth Proportional to 8,407.04, 12,591.38 and 4,027.62

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Solution

The fourth proportional to 8,407.04, 12,591.38 and 4,027.62 is: 6,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.04 : 12,591.38 = 4,027.62 : x
  2. Step 2: Convert to fraction form
    8,407.04/12,591.38 = 4,027.62/x
  3. Step 3: Cross multiply
    8,407.04x = 12,591.38 × 4,027.62
  4. Step 4: Simplify right side
    8,407.04x = 50,713,293.92
  5. Step 5: Solve for x
    x = 50,713,293.92/8,407.04
  6. Step 6: Final answer
    x = 6,032.24

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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.