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Finding the Fourth Proportional to 8,243.76, 11,377.08 and 5,057.04

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Solution

The fourth proportional to 8,243.76, 11,377.08 and 5,057.04 is: 6,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.76 : 11,377.08 = 5,057.04 : x
  2. Step 2: Convert to fraction form
    8,243.76/11,377.08 = 5,057.04/x
  3. Step 3: Cross multiply
    8,243.76x = 11,377.08 × 5,057.04
  4. Step 4: Simplify right side
    8,243.76x = 57,534,348.64
  5. Step 5: Solve for x
    x = 57,534,348.64/8,243.76
  6. Step 6: Final answer
    x = 6,979.14

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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.