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Finding the Fourth Proportional to 10,251.74, 15,379.65 and 3,678.44

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Solution

The fourth proportional to 10,251.74, 15,379.65 and 3,678.44 is: 5,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.74 : 15,379.65 = 3,678.44 : x
  2. Step 2: Convert to fraction form
    10,251.74/15,379.65 = 3,678.44/x
  3. Step 3: Cross multiply
    10,251.74x = 15,379.65 × 3,678.44
  4. Step 4: Simplify right side
    10,251.74x = 56,573,042.85
  5. Step 5: Solve for x
    x = 56,573,042.85/10,251.74
  6. Step 6: Final answer
    x = 5,518.39

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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.