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Finding the Fourth Proportional to 10,114.62, 15,174.15 and 3,094.68

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Solution

The fourth proportional to 10,114.62, 15,174.15 and 3,094.68 is: 4,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.62 : 15,174.15 = 3,094.68 : x
  2. Step 2: Convert to fraction form
    10,114.62/15,174.15 = 3,094.68/x
  3. Step 3: Cross multiply
    10,114.62x = 15,174.15 × 3,094.68
  4. Step 4: Simplify right side
    10,114.62x = 46,959,138.52
  5. Step 5: Solve for x
    x = 46,959,138.52/10,114.62
  6. Step 6: Final answer
    x = 4,642.70

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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.