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Finding the Fourth Proportional to 11,442.97, 17,095.10 and 7,249.42

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Solution

The fourth proportional to 11,442.97, 17,095.10 and 7,249.42 is: 10,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.97 : 17,095.10 = 7,249.42 : x
  2. Step 2: Convert to fraction form
    11,442.97/17,095.10 = 7,249.42/x
  3. Step 3: Cross multiply
    11,442.97x = 17,095.10 × 7,249.42
  4. Step 4: Simplify right side
    11,442.97x = 123,929,559.84
  5. Step 5: Solve for x
    x = 123,929,559.84/11,442.97
  6. Step 6: Final answer
    x = 10,830.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.