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Finding the Fourth Proportional to 8,742.50, 13,115.97 and 2,586.50

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Solution

The fourth proportional to 8,742.50, 13,115.97 and 2,586.50 is: 3,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.50 : 13,115.97 = 2,586.50 : x
  2. Step 2: Convert to fraction form
    8,742.50/13,115.97 = 2,586.50/x
  3. Step 3: Cross multiply
    8,742.50x = 13,115.97 × 2,586.50
  4. Step 4: Simplify right side
    8,742.50x = 33,924,456.41
  5. Step 5: Solve for x
    x = 33,924,456.41/8,742.50
  6. Step 6: Final answer
    x = 3,880.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.