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Finding the Fourth Proportional to 10,543.20, 15,817.39 and 7,429.28

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Solution

The fourth proportional to 10,543.20, 15,817.39 and 7,429.28 is: 11,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.20 : 15,817.39 = 7,429.28 : x
  2. Step 2: Convert to fraction form
    10,543.20/15,817.39 = 7,429.28/x
  3. Step 3: Cross multiply
    10,543.20x = 15,817.39 × 7,429.28
  4. Step 4: Simplify right side
    10,543.20x = 117,511,819.18
  5. Step 5: Solve for x
    x = 117,511,819.18/10,543.20
  6. Step 6: Final answer
    x = 11,145.75

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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.