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Finding the Fourth Proportional to 8,125.71, 12,189.01 and 2,579.50

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Solution

The fourth proportional to 8,125.71, 12,189.01 and 2,579.50 is: 3,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.71 : 12,189.01 = 2,579.50 : x
  2. Step 2: Convert to fraction form
    8,125.71/12,189.01 = 2,579.50/x
  3. Step 3: Cross multiply
    8,125.71x = 12,189.01 × 2,579.50
  4. Step 4: Simplify right side
    8,125.71x = 31,441,551.30
  5. Step 5: Solve for x
    x = 31,441,551.30/8,125.71
  6. Step 6: Final answer
    x = 3,869.39

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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.