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Finding the Fourth Proportional to 11,002.14, 15,174.89 and 7,223.93

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Solution

The fourth proportional to 11,002.14, 15,174.89 and 7,223.93 is: 9,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.14 : 15,174.89 = 7,223.93 : x
  2. Step 2: Convert to fraction form
    11,002.14/15,174.89 = 7,223.93/x
  3. Step 3: Cross multiply
    11,002.14x = 15,174.89 × 7,223.93
  4. Step 4: Simplify right side
    11,002.14x = 109,622,231.12
  5. Step 5: Solve for x
    x = 109,622,231.12/11,002.14
  6. Step 6: Final answer
    x = 9,963.72

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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.