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Finding the Fourth Proportional to 10,366.90, 15,538.20 and 7,766.80

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Solution

The fourth proportional to 10,366.90, 15,538.20 and 7,766.80 is: 11,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.90 : 15,538.20 = 7,766.80 : x
  2. Step 2: Convert to fraction form
    10,366.90/15,538.20 = 7,766.80/x
  3. Step 3: Cross multiply
    10,366.90x = 15,538.20 × 7,766.80
  4. Step 4: Simplify right side
    10,366.90x = 120,682,091.76
  5. Step 5: Solve for x
    x = 120,682,091.76/10,366.90
  6. Step 6: Final answer
    x = 11,641.10

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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.