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Finding the Fourth Proportional to 8,290.20, 11,444.72 and 6,397.54

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Solution

The fourth proportional to 8,290.20, 11,444.72 and 6,397.54 is: 8,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.20 : 11,444.72 = 6,397.54 : x
  2. Step 2: Convert to fraction form
    8,290.20/11,444.72 = 6,397.54/x
  3. Step 3: Cross multiply
    8,290.20x = 11,444.72 × 6,397.54
  4. Step 4: Simplify right side
    8,290.20x = 73,218,053.99
  5. Step 5: Solve for x
    x = 73,218,053.99/8,290.20
  6. Step 6: Final answer
    x = 8,831.88

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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.