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Finding the Fourth Proportional to 10,597.69, 15,896.54 and 3,672.19

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Solution

The fourth proportional to 10,597.69, 15,896.54 and 3,672.19 is: 5,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.69 : 15,896.54 = 3,672.19 : x
  2. Step 2: Convert to fraction form
    10,597.69/15,896.54 = 3,672.19/x
  3. Step 3: Cross multiply
    10,597.69x = 15,896.54 × 3,672.19
  4. Step 4: Simplify right side
    10,597.69x = 58,375,115.22
  5. Step 5: Solve for x
    x = 58,375,115.22/10,597.69
  6. Step 6: Final answer
    x = 5,508.29

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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.