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Finding the Fourth Proportional to 11,243.92, 15,514.86 and 6,527.38

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Solution

The fourth proportional to 11,243.92, 15,514.86 and 6,527.38 is: 9,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,243.92 : 15,514.86 = 6,527.38 : x
  2. Step 2: Convert to fraction form
    11,243.92/15,514.86 = 6,527.38/x
  3. Step 3: Cross multiply
    11,243.92x = 15,514.86 × 6,527.38
  4. Step 4: Simplify right side
    11,243.92x = 101,271,386.87
  5. Step 5: Solve for x
    x = 101,271,386.87/11,243.92
  6. Step 6: Final answer
    x = 9,006.77

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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.