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Finding the Fourth Proportional to 11,542.14, 15,928.11 and 6,506.13

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Solution

The fourth proportional to 11,542.14, 15,928.11 and 6,506.13 is: 8,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.14 : 15,928.11 = 6,506.13 : x
  2. Step 2: Convert to fraction form
    11,542.14/15,928.11 = 6,506.13/x
  3. Step 3: Cross multiply
    11,542.14x = 15,928.11 × 6,506.13
  4. Step 4: Simplify right side
    11,542.14x = 103,630,354.31
  5. Step 5: Solve for x
    x = 103,630,354.31/11,542.14
  6. Step 6: Final answer
    x = 8,978.44

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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.