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Finding the Fourth Proportional to 8,251.76, 12,377.64 and 3,866.01

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Solution

The fourth proportional to 8,251.76, 12,377.64 and 3,866.01 is: 5,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.76 : 12,377.64 = 3,866.01 : x
  2. Step 2: Convert to fraction form
    8,251.76/12,377.64 = 3,866.01/x
  3. Step 3: Cross multiply
    8,251.76x = 12,377.64 × 3,866.01
  4. Step 4: Simplify right side
    8,251.76x = 47,852,080.02
  5. Step 5: Solve for x
    x = 47,852,080.02/8,251.76
  6. Step 6: Final answer
    x = 5,799.02

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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.