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Finding the Fourth Proportional to 11,497.20, 17,229.60 and 7,101.60

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Solution

The fourth proportional to 11,497.20, 17,229.60 and 7,101.60 is: 10,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.20 : 17,229.60 = 7,101.60 : x
  2. Step 2: Convert to fraction form
    11,497.20/17,229.60 = 7,101.60/x
  3. Step 3: Cross multiply
    11,497.20x = 17,229.60 × 7,101.60
  4. Step 4: Simplify right side
    11,497.20x = 122,357,727.36
  5. Step 5: Solve for x
    x = 122,357,727.36/11,497.20
  6. Step 6: Final answer
    x = 10,642.39

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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.