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Finding the Fourth Proportional to 8,162.96, 11,265.16 and 4,437.04

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Solution

The fourth proportional to 8,162.96, 11,265.16 and 4,437.04 is: 6,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.96 : 11,265.16 = 4,437.04 : x
  2. Step 2: Convert to fraction form
    8,162.96/11,265.16 = 4,437.04/x
  3. Step 3: Cross multiply
    8,162.96x = 11,265.16 × 4,437.04
  4. Step 4: Simplify right side
    8,162.96x = 49,983,965.53
  5. Step 5: Solve for x
    x = 49,983,965.53/8,162.96
  6. Step 6: Final answer
    x = 6,123.26

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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.