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Finding the Fourth Proportional to 8,805, 13,211.81 and 3,874.02

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Solution

The fourth proportional to 8,805, 13,211.81 and 3,874.02 is: 5,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,805 : 13,211.81 = 3,874.02 : x
  2. Step 2: Convert to fraction form
    8,805/13,211.81 = 3,874.02/x
  3. Step 3: Cross multiply
    8,805x = 13,211.81 × 3,874.02
  4. Step 4: Simplify right side
    8,805x = 51,182,796.81
  5. Step 5: Solve for x
    x = 51,182,796.81/8,805
  6. Step 6: Final answer
    x = 5,812.92

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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.