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Finding the Fourth Proportional to 11,151.64, 15,383.82 and 9,382.60

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Solution

The fourth proportional to 11,151.64, 15,383.82 and 9,382.60 is: 12,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.64 : 15,383.82 = 9,382.60 : x
  2. Step 2: Convert to fraction form
    11,151.64/15,383.82 = 9,382.60/x
  3. Step 3: Cross multiply
    11,151.64x = 15,383.82 × 9,382.60
  4. Step 4: Simplify right side
    11,151.64x = 144,340,229.53
  5. Step 5: Solve for x
    x = 144,340,229.53/11,151.64
  6. Step 6: Final answer
    x = 12,943.41

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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.