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Finding the Fourth Proportional to 11,169.28, 15,409.20 and 7,811.02

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Solution

The fourth proportional to 11,169.28, 15,409.20 and 7,811.02 is: 10,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,169.28 : 15,409.20 = 7,811.02 : x
  2. Step 2: Convert to fraction form
    11,169.28/15,409.20 = 7,811.02/x
  3. Step 3: Cross multiply
    11,169.28x = 15,409.20 × 7,811.02
  4. Step 4: Simplify right side
    11,169.28x = 120,361,569.38
  5. Step 5: Solve for x
    x = 120,361,569.38/11,169.28
  6. Step 6: Final answer
    x = 10,776.13

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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.