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Finding the Fourth Proportional to 11,011.74, 15,195.92 and 6,295.74

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Solution

The fourth proportional to 11,011.74, 15,195.92 and 6,295.74 is: 8,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,011.74 : 15,195.92 = 6,295.74 : x
  2. Step 2: Convert to fraction form
    11,011.74/15,195.92 = 6,295.74/x
  3. Step 3: Cross multiply
    11,011.74x = 15,195.92 × 6,295.74
  4. Step 4: Simplify right side
    11,011.74x = 95,669,561.38
  5. Step 5: Solve for x
    x = 95,669,561.38/11,011.74
  6. Step 6: Final answer
    x = 8,687.96

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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.