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Finding the Fourth Proportional to 7,818.74, 10,781.28 and 6,022.32

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Solution

The fourth proportional to 7,818.74, 10,781.28 and 6,022.32 is: 8,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.74 : 10,781.28 = 6,022.32 : x
  2. Step 2: Convert to fraction form
    7,818.74/10,781.28 = 6,022.32/x
  3. Step 3: Cross multiply
    7,818.74x = 10,781.28 × 6,022.32
  4. Step 4: Simplify right side
    7,818.74x = 64,928,318.17
  5. Step 5: Solve for x
    x = 64,928,318.17/7,818.74
  6. Step 6: Final answer
    x = 8,304.19

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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.