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Finding the Fourth Proportional to 6,871.52, 10,308.68 and 2,191.40

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Solution

The fourth proportional to 6,871.52, 10,308.68 and 2,191.40 is: 3,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.52 : 10,308.68 = 2,191.40 : x
  2. Step 2: Convert to fraction form
    6,871.52/10,308.68 = 2,191.40/x
  3. Step 3: Cross multiply
    6,871.52x = 10,308.68 × 2,191.40
  4. Step 4: Simplify right side
    6,871.52x = 22,590,378.85
  5. Step 5: Solve for x
    x = 22,590,378.85/6,871.52
  6. Step 6: Final answer
    x = 3,287.54

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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.