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Finding the Fourth Proportional to 10,449.74, 15,678.04 and 3,876.42

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Solution

The fourth proportional to 10,449.74, 15,678.04 and 3,876.42 is: 5,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.74 : 15,678.04 = 3,876.42 : x
  2. Step 2: Convert to fraction form
    10,449.74/15,678.04 = 3,876.42/x
  3. Step 3: Cross multiply
    10,449.74x = 15,678.04 × 3,876.42
  4. Step 4: Simplify right side
    10,449.74x = 60,774,667.82
  5. Step 5: Solve for x
    x = 60,774,667.82/10,449.74
  6. Step 6: Final answer
    x = 5,815.90

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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.