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Finding the Fourth Proportional to 8,155.92, 11,260.17 and 5,637.09

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Solution

The fourth proportional to 8,155.92, 11,260.17 and 5,637.09 is: 7,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.92 : 11,260.17 = 5,637.09 : x
  2. Step 2: Convert to fraction form
    8,155.92/11,260.17 = 5,637.09/x
  3. Step 3: Cross multiply
    8,155.92x = 11,260.17 × 5,637.09
  4. Step 4: Simplify right side
    8,155.92x = 63,474,591.71
  5. Step 5: Solve for x
    x = 63,474,591.71/8,155.92
  6. Step 6: Final answer
    x = 7,782.64

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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.