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Finding the Fourth Proportional to 8,196.10, 12,294.15 and 2,353.18

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Solution

The fourth proportional to 8,196.10, 12,294.15 and 2,353.18 is: 3,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.10 : 12,294.15 = 2,353.18 : x
  2. Step 2: Convert to fraction form
    8,196.10/12,294.15 = 2,353.18/x
  3. Step 3: Cross multiply
    8,196.10x = 12,294.15 × 2,353.18
  4. Step 4: Simplify right side
    8,196.10x = 28,930,347.90
  5. Step 5: Solve for x
    x = 28,930,347.90/8,196.10
  6. Step 6: Final answer
    x = 3,529.77

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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.