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Finding the Fourth Proportional to 8,240.13, 11,358.06 and 6,444.42

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Solution

The fourth proportional to 8,240.13, 11,358.06 and 6,444.42 is: 8,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.13 : 11,358.06 = 6,444.42 : x
  2. Step 2: Convert to fraction form
    8,240.13/11,358.06 = 6,444.42/x
  3. Step 3: Cross multiply
    8,240.13x = 11,358.06 × 6,444.42
  4. Step 4: Simplify right side
    8,240.13x = 73,196,109.03
  5. Step 5: Solve for x
    x = 73,196,109.03/8,240.13
  6. Step 6: Final answer
    x = 8,882.88

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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.