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Finding the Fourth Proportional to 11,542.20, 15,928.02 and 6,506.34

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Solution

The fourth proportional to 11,542.20, 15,928.02 and 6,506.34 is: 8,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.20 : 15,928.02 = 6,506.34 : x
  2. Step 2: Convert to fraction form
    11,542.20/15,928.02 = 6,506.34/x
  3. Step 3: Cross multiply
    11,542.20x = 15,928.02 × 6,506.34
  4. Step 4: Simplify right side
    11,542.20x = 103,633,113.65
  5. Step 5: Solve for x
    x = 103,633,113.65/11,542.20
  6. Step 6: Final answer
    x = 8,978.63

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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.