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Finding the Fourth Proportional to 11,202.62, 15,456.47 and 7,226.06

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Solution

The fourth proportional to 11,202.62, 15,456.47 and 7,226.06 is: 9,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.62 : 15,456.47 = 7,226.06 : x
  2. Step 2: Convert to fraction form
    11,202.62/15,456.47 = 7,226.06/x
  3. Step 3: Cross multiply
    11,202.62x = 15,456.47 × 7,226.06
  4. Step 4: Simplify right side
    11,202.62x = 111,689,266.20
  5. Step 5: Solve for x
    x = 111,689,266.20/11,202.62
  6. Step 6: Final answer
    x = 9,969.93

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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.