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Finding the Fourth Proportional to 11,230.08, 15,494.40 and 7,251.36

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Solution

The fourth proportional to 11,230.08, 15,494.40 and 7,251.36 is: 10,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.08 : 15,494.40 = 7,251.36 : x
  2. Step 2: Convert to fraction form
    11,230.08/15,494.40 = 7,251.36/x
  3. Step 3: Cross multiply
    11,230.08x = 15,494.40 × 7,251.36
  4. Step 4: Simplify right side
    11,230.08x = 112,355,472.38
  5. Step 5: Solve for x
    x = 112,355,472.38/11,230.08
  6. Step 6: Final answer
    x = 10,004.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.