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Finding the Fourth Proportional to 11,202.52, 15,456.31 and 7,225.96

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Solution

The fourth proportional to 11,202.52, 15,456.31 and 7,225.96 is: 9,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.52 : 15,456.31 = 7,225.96 : x
  2. Step 2: Convert to fraction form
    11,202.52/15,456.31 = 7,225.96/x
  3. Step 3: Cross multiply
    11,202.52x = 15,456.31 × 7,225.96
  4. Step 4: Simplify right side
    11,202.52x = 111,686,677.81
  5. Step 5: Solve for x
    x = 111,686,677.81/11,202.52
  6. Step 6: Final answer
    x = 9,969.78

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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.