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Finding the Fourth Proportional to 11,456.57, 15,809.27 and 6,352.04

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Solution

The fourth proportional to 11,456.57, 15,809.27 and 6,352.04 is: 8,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.57 : 15,809.27 = 6,352.04 : x
  2. Step 2: Convert to fraction form
    11,456.57/15,809.27 = 6,352.04/x
  3. Step 3: Cross multiply
    11,456.57x = 15,809.27 × 6,352.04
  4. Step 4: Simplify right side
    11,456.57x = 100,421,123.17
  5. Step 5: Solve for x
    x = 100,421,123.17/11,456.57
  6. Step 6: Final answer
    x = 8,765.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.