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Finding the Fourth Proportional to 10,358.26, 14,294.27 and 5,642.44

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Solution

The fourth proportional to 10,358.26, 14,294.27 and 5,642.44 is: 7,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.26 : 14,294.27 = 5,642.44 : x
  2. Step 2: Convert to fraction form
    10,358.26/14,294.27 = 5,642.44/x
  3. Step 3: Cross multiply
    10,358.26x = 14,294.27 × 5,642.44
  4. Step 4: Simplify right side
    10,358.26x = 80,654,560.82
  5. Step 5: Solve for x
    x = 80,654,560.82/10,358.26
  6. Step 6: Final answer
    x = 7,786.50

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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.