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Finding the Fourth Proportional to 8,386.92, 12,580.38 and 2,543.54

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Solution

The fourth proportional to 8,386.92, 12,580.38 and 2,543.54 is: 3,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.92 : 12,580.38 = 2,543.54 : x
  2. Step 2: Convert to fraction form
    8,386.92/12,580.38 = 2,543.54/x
  3. Step 3: Cross multiply
    8,386.92x = 12,580.38 × 2,543.54
  4. Step 4: Simplify right side
    8,386.92x = 31,998,699.75
  5. Step 5: Solve for x
    x = 31,998,699.75/8,386.92
  6. Step 6: Final answer
    x = 3,815.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.