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Finding the Fourth Proportional to 8,196.69, 12,304.78 and 7,862.49

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Solution

The fourth proportional to 8,196.69, 12,304.78 and 7,862.49 is: 11,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.69 : 12,304.78 = 7,862.49 : x
  2. Step 2: Convert to fraction form
    8,196.69/12,304.78 = 7,862.49/x
  3. Step 3: Cross multiply
    8,196.69x = 12,304.78 × 7,862.49
  4. Step 4: Simplify right side
    8,196.69x = 96,746,209.70
  5. Step 5: Solve for x
    x = 96,746,209.70/8,196.69
  6. Step 6: Final answer
    x = 11,803.08

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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.