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Finding the Fourth Proportional to 8,121.71, 12,181.77 and 5,506.02

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Solution

The fourth proportional to 8,121.71, 12,181.77 and 5,506.02 is: 8,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.71 : 12,181.77 = 5,506.02 : x
  2. Step 2: Convert to fraction form
    8,121.71/12,181.77 = 5,506.02/x
  3. Step 3: Cross multiply
    8,121.71x = 12,181.77 × 5,506.02
  4. Step 4: Simplify right side
    8,121.71x = 67,073,069.26
  5. Step 5: Solve for x
    x = 67,073,069.26/8,121.71
  6. Step 6: Final answer
    x = 8,258.50

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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.