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Finding the Fourth Proportional to 11,578.27, 15,978.63 and 6,542.70

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Solution

The fourth proportional to 11,578.27, 15,978.63 and 6,542.70 is: 9,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.27 : 15,978.63 = 6,542.70 : x
  2. Step 2: Convert to fraction form
    11,578.27/15,978.63 = 6,542.70/x
  3. Step 3: Cross multiply
    11,578.27x = 15,978.63 × 6,542.70
  4. Step 4: Simplify right side
    11,578.27x = 104,543,326.20
  5. Step 5: Solve for x
    x = 104,543,326.20/11,578.27
  6. Step 6: Final answer
    x = 9,029.27

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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.