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Finding the Fourth Proportional to 11,838.32, 17,755.56 and 7,097.12

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Solution

The fourth proportional to 11,838.32, 17,755.56 and 7,097.12 is: 10,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.32 : 17,755.56 = 7,097.12 : x
  2. Step 2: Convert to fraction form
    11,838.32/17,755.56 = 7,097.12/x
  3. Step 3: Cross multiply
    11,838.32x = 17,755.56 × 7,097.12
  4. Step 4: Simplify right side
    11,838.32x = 126,013,339.99
  5. Step 5: Solve for x
    x = 126,013,339.99/11,838.32
  6. Step 6: Final answer
    x = 10,644.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.