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Finding the Fourth Proportional to 8,200.98, 12,302.01 and 6,884.46

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Solution

The fourth proportional to 8,200.98, 12,302.01 and 6,884.46 is: 10,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.98 : 12,302.01 = 6,884.46 : x
  2. Step 2: Convert to fraction form
    8,200.98/12,302.01 = 6,884.46/x
  3. Step 3: Cross multiply
    8,200.98x = 12,302.01 × 6,884.46
  4. Step 4: Simplify right side
    8,200.98x = 84,692,695.76
  5. Step 5: Solve for x
    x = 84,692,695.76/8,200.98
  6. Step 6: Final answer
    x = 10,327.14

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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.