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Finding the Fourth Proportional to 10,997.14, 15,152.28 and 7,454.20

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Solution

The fourth proportional to 10,997.14, 15,152.28 and 7,454.20 is: 10,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.14 : 15,152.28 = 7,454.20 : x
  2. Step 2: Convert to fraction form
    10,997.14/15,152.28 = 7,454.20/x
  3. Step 3: Cross multiply
    10,997.14x = 15,152.28 × 7,454.20
  4. Step 4: Simplify right side
    10,997.14x = 112,948,125.58
  5. Step 5: Solve for x
    x = 112,948,125.58/10,997.14
  6. Step 6: Final answer
    x = 10,270.68

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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.