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Finding the Fourth Proportional to 10,357.75, 15,511.92 and 5,966

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Solution

The fourth proportional to 10,357.75, 15,511.92 and 5,966 is: 8,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.75 : 15,511.92 = 5,966 : x
  2. Step 2: Convert to fraction form
    10,357.75/15,511.92 = 5,966/x
  3. Step 3: Cross multiply
    10,357.75x = 15,511.92 × 5,966
  4. Step 4: Simplify right side
    10,357.75x = 92,544,114.72
  5. Step 5: Solve for x
    x = 92,544,114.72/10,357.75
  6. Step 6: Final answer
    x = 8,934.77

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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.