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Finding the Fourth Proportional to 11,186.43, 15,435.32 and 6,938.52

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Solution

The fourth proportional to 11,186.43, 15,435.32 and 6,938.52 is: 9,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.43 : 15,435.32 = 6,938.52 : x
  2. Step 2: Convert to fraction form
    11,186.43/15,435.32 = 6,938.52/x
  3. Step 3: Cross multiply
    11,186.43x = 15,435.32 × 6,938.52
  4. Step 4: Simplify right side
    11,186.43x = 107,098,276.53
  5. Step 5: Solve for x
    x = 107,098,276.53/11,186.43
  6. Step 6: Final answer
    x = 9,573.95

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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.