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Finding the Fourth Proportional to 8,200.32, 12,298.95 and 2,196.48

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Solution

The fourth proportional to 8,200.32, 12,298.95 and 2,196.48 is: 3,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.32 : 12,298.95 = 2,196.48 : x
  2. Step 2: Convert to fraction form
    8,200.32/12,298.95 = 2,196.48/x
  3. Step 3: Cross multiply
    8,200.32x = 12,298.95 × 2,196.48
  4. Step 4: Simplify right side
    8,200.32x = 27,014,397.70
  5. Step 5: Solve for x
    x = 27,014,397.70/8,200.32
  6. Step 6: Final answer
    x = 3,294.31

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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.