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Finding the Fourth Proportional to 8,386.01, 12,580.11 and 2,761.82

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Solution

The fourth proportional to 8,386.01, 12,580.11 and 2,761.82 is: 4,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.01 : 12,580.11 = 2,761.82 : x
  2. Step 2: Convert to fraction form
    8,386.01/12,580.11 = 2,761.82/x
  3. Step 3: Cross multiply
    8,386.01x = 12,580.11 × 2,761.82
  4. Step 4: Simplify right side
    8,386.01x = 34,743,936.50
  5. Step 5: Solve for x
    x = 34,743,936.50/8,386.01
  6. Step 6: Final answer
    x = 4,143.09

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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.