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Finding the Fourth Proportional to 11,415.20, 17,151.60 and 7,257.20

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Solution

The fourth proportional to 11,415.20, 17,151.60 and 7,257.20 is: 10,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.20 : 17,151.60 = 7,257.20 : x
  2. Step 2: Convert to fraction form
    11,415.20/17,151.60 = 7,257.20/x
  3. Step 3: Cross multiply
    11,415.20x = 17,151.60 × 7,257.20
  4. Step 4: Simplify right side
    11,415.20x = 124,472,591.52
  5. Step 5: Solve for x
    x = 124,472,591.52/11,415.20
  6. Step 6: Final answer
    x = 10,904.11

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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.