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Finding the Fourth Proportional to 8,254.17, 12,383.28 and 3,866.50

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Solution

The fourth proportional to 8,254.17, 12,383.28 and 3,866.50 is: 5,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.17 : 12,383.28 = 3,866.50 : x
  2. Step 2: Convert to fraction form
    8,254.17/12,383.28 = 3,866.50/x
  3. Step 3: Cross multiply
    8,254.17x = 12,383.28 × 3,866.50
  4. Step 4: Simplify right side
    8,254.17x = 47,879,967.60
  5. Step 5: Solve for x
    x = 47,879,967.60/8,254.17
  6. Step 6: Final answer
    x = 5,800.70

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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.