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Finding the Fourth Proportional to 11,581.44, 15,978.52 and 6,545.04

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Solution

The fourth proportional to 11,581.44, 15,978.52 and 6,545.04 is: 9,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581.44 : 15,978.52 = 6,545.04 : x
  2. Step 2: Convert to fraction form
    11,581.44/15,978.52 = 6,545.04/x
  3. Step 3: Cross multiply
    11,581.44x = 15,978.52 × 6,545.04
  4. Step 4: Simplify right side
    11,581.44x = 104,580,052.54
  5. Step 5: Solve for x
    x = 104,580,052.54/11,581.44
  6. Step 6: Final answer
    x = 9,029.97

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Why These Related Problems?

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