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Finding the Fourth Proportional to 8,744.12, 13,114.34 and 3,200.08

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Solution

The fourth proportional to 8,744.12, 13,114.34 and 3,200.08 is: 4,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744.12 : 13,114.34 = 3,200.08 : x
  2. Step 2: Convert to fraction form
    8,744.12/13,114.34 = 3,200.08/x
  3. Step 3: Cross multiply
    8,744.12x = 13,114.34 × 3,200.08
  4. Step 4: Simplify right side
    8,744.12x = 41,966,937.15
  5. Step 5: Solve for x
    x = 41,966,937.15/8,744.12
  6. Step 6: Final answer
    x = 4,799.45

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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.