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Finding the Fourth Proportional to 11,150.66, 15,387.87 and 6,114.76

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Solution

The fourth proportional to 11,150.66, 15,387.87 and 6,114.76 is: 8,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,150.66 : 15,387.87 = 6,114.76 : x
  2. Step 2: Convert to fraction form
    11,150.66/15,387.87 = 6,114.76/x
  3. Step 3: Cross multiply
    11,150.66x = 15,387.87 × 6,114.76
  4. Step 4: Simplify right side
    11,150.66x = 94,093,116.42
  5. Step 5: Solve for x
    x = 94,093,116.42/11,150.66
  6. Step 6: Final answer
    x = 8,438.34

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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.