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Finding the Fourth Proportional to 10,094.38, 15,142.10 and 3,073.86

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Solution

The fourth proportional to 10,094.38, 15,142.10 and 3,073.86 is: 4,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.38 : 15,142.10 = 3,073.86 : x
  2. Step 2: Convert to fraction form
    10,094.38/15,142.10 = 3,073.86/x
  3. Step 3: Cross multiply
    10,094.38x = 15,142.10 × 3,073.86
  4. Step 4: Simplify right side
    10,094.38x = 46,544,695.51
  5. Step 5: Solve for x
    x = 46,544,695.51/10,094.38
  6. Step 6: Final answer
    x = 4,610.95

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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.