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Finding the Fourth Proportional to 11,151.14, 15,383.13 and 9,382.10

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Solution

The fourth proportional to 11,151.14, 15,383.13 and 9,382.10 is: 12,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.14 : 15,383.13 = 9,382.10 : x
  2. Step 2: Convert to fraction form
    11,151.14/15,383.13 = 9,382.10/x
  3. Step 3: Cross multiply
    11,151.14x = 15,383.13 × 9,382.10
  4. Step 4: Simplify right side
    11,151.14x = 144,326,063.97
  5. Step 5: Solve for x
    x = 144,326,063.97/11,151.14
  6. Step 6: Final answer
    x = 12,942.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.