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Finding the Fourth Proportional to 11,123.68, 15,324.30 and 7,760.38

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Solution

The fourth proportional to 11,123.68, 15,324.30 and 7,760.38 is: 10,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,123.68 : 15,324.30 = 7,760.38 : x
  2. Step 2: Convert to fraction form
    11,123.68/15,324.30 = 7,760.38/x
  3. Step 3: Cross multiply
    11,123.68x = 15,324.30 × 7,760.38
  4. Step 4: Simplify right side
    11,123.68x = 118,922,391.23
  5. Step 5: Solve for x
    x = 118,922,391.23/11,123.68
  6. Step 6: Final answer
    x = 10,690.92

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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.