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Finding the Fourth Proportional to 10,094.78, 15,143.98 and 3,431.90

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Solution

The fourth proportional to 10,094.78, 15,143.98 and 3,431.90 is: 5,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.78 : 15,143.98 = 3,431.90 : x
  2. Step 2: Convert to fraction form
    10,094.78/15,143.98 = 3,431.90/x
  3. Step 3: Cross multiply
    10,094.78x = 15,143.98 × 3,431.90
  4. Step 4: Simplify right side
    10,094.78x = 51,972,624.96
  5. Step 5: Solve for x
    x = 51,972,624.96/10,094.78
  6. Step 6: Final answer
    x = 5,148.47

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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.