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Finding the Fourth Proportional to 11,327.76, 15,634.17 and 6,611.13

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Solution

The fourth proportional to 11,327.76, 15,634.17 and 6,611.13 is: 9,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327.76 : 15,634.17 = 6,611.13 : x
  2. Step 2: Convert to fraction form
    11,327.76/15,634.17 = 6,611.13/x
  3. Step 3: Cross multiply
    11,327.76x = 15,634.17 × 6,611.13
  4. Step 4: Simplify right side
    11,327.76x = 103,359,530.31
  5. Step 5: Solve for x
    x = 103,359,530.31/11,327.76
  6. Step 6: Final answer
    x = 9,124.45

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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.