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Finding the Fourth Proportional to 10,540.36, 14,545.72 and 5,760.38

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Solution

The fourth proportional to 10,540.36, 14,545.72 and 5,760.38 is: 7,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.36 : 14,545.72 = 5,760.38 : x
  2. Step 2: Convert to fraction form
    10,540.36/14,545.72 = 5,760.38/x
  3. Step 3: Cross multiply
    10,540.36x = 14,545.72 × 5,760.38
  4. Step 4: Simplify right side
    10,540.36x = 83,788,874.57
  5. Step 5: Solve for x
    x = 83,788,874.57/10,540.36
  6. Step 6: Final answer
    x = 7,949.34

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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.