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Finding the Fourth Proportional to 10,494.38, 15,743.88 and 4,572.22

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Solution

The fourth proportional to 10,494.38, 15,743.88 and 4,572.22 is: 6,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.38 : 15,743.88 = 4,572.22 : x
  2. Step 2: Convert to fraction form
    10,494.38/15,743.88 = 4,572.22/x
  3. Step 3: Cross multiply
    10,494.38x = 15,743.88 × 4,572.22
  4. Step 4: Simplify right side
    10,494.38x = 71,984,483.01
  5. Step 5: Solve for x
    x = 71,984,483.01/10,494.38
  6. Step 6: Final answer
    x = 6,859.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.