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Finding the Fourth Proportional to 10,306.80, 15,427.80 and 8,103.60

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Solution

The fourth proportional to 10,306.80, 15,427.80 and 8,103.60 is: 12,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.80 : 15,427.80 = 8,103.60 : x
  2. Step 2: Convert to fraction form
    10,306.80/15,427.80 = 8,103.60/x
  3. Step 3: Cross multiply
    10,306.80x = 15,427.80 × 8,103.60
  4. Step 4: Simplify right side
    10,306.80x = 125,020,720.08
  5. Step 5: Solve for x
    x = 125,020,720.08/10,306.80
  6. Step 6: Final answer
    x = 12,129.93

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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.