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Finding the Fourth Proportional to 10,078.20, 15,101.10 and 8,425.80

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Solution

The fourth proportional to 10,078.20, 15,101.10 and 8,425.80 is: 12,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.20 : 15,101.10 = 8,425.80 : x
  2. Step 2: Convert to fraction form
    10,078.20/15,101.10 = 8,425.80/x
  3. Step 3: Cross multiply
    10,078.20x = 15,101.10 × 8,425.80
  4. Step 4: Simplify right side
    10,078.20x = 127,238,848.38
  5. Step 5: Solve for x
    x = 127,238,848.38/10,078.20
  6. Step 6: Final answer
    x = 12,625.16

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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.