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Finding the Fourth Proportional to 10,073.72, 15,109.40 and 2,678.76

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Solution

The fourth proportional to 10,073.72, 15,109.40 and 2,678.76 is: 4,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.72 : 15,109.40 = 2,678.76 : x
  2. Step 2: Convert to fraction form
    10,073.72/15,109.40 = 2,678.76/x
  3. Step 3: Cross multiply
    10,073.72x = 15,109.40 × 2,678.76
  4. Step 4: Simplify right side
    10,073.72x = 40,474,456.34
  5. Step 5: Solve for x
    x = 40,474,456.34/10,073.72
  6. Step 6: Final answer
    x = 4,017.83

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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.