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Finding the Fourth Proportional to 11,174.46, 15,422.31 and 7,454.94

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Solution

The fourth proportional to 11,174.46, 15,422.31 and 7,454.94 is: 10,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.46 : 15,422.31 = 7,454.94 : x
  2. Step 2: Convert to fraction form
    11,174.46/15,422.31 = 7,454.94/x
  3. Step 3: Cross multiply
    11,174.46x = 15,422.31 × 7,454.94
  4. Step 4: Simplify right side
    11,174.46x = 114,972,395.71
  5. Step 5: Solve for x
    x = 114,972,395.71/11,174.46
  6. Step 6: Final answer
    x = 10,288.85

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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.