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Finding the Fourth Proportional to 8,162.10, 11,248.37 and 5,639.70

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Solution

The fourth proportional to 8,162.10, 11,248.37 and 5,639.70 is: 7,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.10 : 11,248.37 = 5,639.70 : x
  2. Step 2: Convert to fraction form
    8,162.10/11,248.37 = 5,639.70/x
  3. Step 3: Cross multiply
    8,162.10x = 11,248.37 × 5,639.70
  4. Step 4: Simplify right side
    8,162.10x = 63,437,432.29
  5. Step 5: Solve for x
    x = 63,437,432.29/8,162.10
  6. Step 6: Final answer
    x = 7,772.19

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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.