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Finding the Fourth Proportional to 10,543.91, 15,813.36 and 3,522.29

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Solution

The fourth proportional to 10,543.91, 15,813.36 and 3,522.29 is: 5,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.91 : 15,813.36 = 3,522.29 : x
  2. Step 2: Convert to fraction form
    10,543.91/15,813.36 = 3,522.29/x
  3. Step 3: Cross multiply
    10,543.91x = 15,813.36 × 3,522.29
  4. Step 4: Simplify right side
    10,543.91x = 55,699,160.73
  5. Step 5: Solve for x
    x = 55,699,160.73/10,543.91
  6. Step 6: Final answer
    x = 5,282.59

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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.