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Finding the Fourth Proportional to 10,035.78, 15,056.31 and 3,462.44

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Solution

The fourth proportional to 10,035.78, 15,056.31 and 3,462.44 is: 5,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.78 : 15,056.31 = 3,462.44 : x
  2. Step 2: Convert to fraction form
    10,035.78/15,056.31 = 3,462.44/x
  3. Step 3: Cross multiply
    10,035.78x = 15,056.31 × 3,462.44
  4. Step 4: Simplify right side
    10,035.78x = 52,131,494.71
  5. Step 5: Solve for x
    x = 52,131,494.71/10,035.78
  6. Step 6: Final answer
    x = 5,194.56

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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.