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Finding the Fourth Proportional to 10,357.20, 15,511.08 and 5,965.44

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Solution

The fourth proportional to 10,357.20, 15,511.08 and 5,965.44 is: 8,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.20 : 15,511.08 = 5,965.44 : x
  2. Step 2: Convert to fraction form
    10,357.20/15,511.08 = 5,965.44/x
  3. Step 3: Cross multiply
    10,357.20x = 15,511.08 × 5,965.44
  4. Step 4: Simplify right side
    10,357.20x = 92,530,417.08
  5. Step 5: Solve for x
    x = 92,530,417.08/10,357.20
  6. Step 6: Final answer
    x = 8,933.92

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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.