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Finding the Fourth Proportional to 8,294.26, 11,444.24 and 4,757.48

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Solution

The fourth proportional to 8,294.26, 11,444.24 and 4,757.48 is: 6,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.26 : 11,444.24 = 4,757.48 : x
  2. Step 2: Convert to fraction form
    8,294.26/11,444.24 = 4,757.48/x
  3. Step 3: Cross multiply
    8,294.26x = 11,444.24 × 4,757.48
  4. Step 4: Simplify right side
    8,294.26x = 54,445,661.91
  5. Step 5: Solve for x
    x = 54,445,661.91/8,294.26
  6. Step 6: Final answer
    x = 6,564.26

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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.