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Finding the Fourth Proportional to 8,209.79, 12,294.95 and 4,689.13

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Solution

The fourth proportional to 8,209.79, 12,294.95 and 4,689.13 is: 7,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.79 : 12,294.95 = 4,689.13 : x
  2. Step 2: Convert to fraction form
    8,209.79/12,294.95 = 4,689.13/x
  3. Step 3: Cross multiply
    8,209.79x = 12,294.95 × 4,689.13
  4. Step 4: Simplify right side
    8,209.79x = 57,652,618.89
  5. Step 5: Solve for x
    x = 57,652,618.89/8,209.79
  6. Step 6: Final answer
    x = 7,022.42

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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.