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Finding the Fourth Proportional to 5,812.32, 8,042.12 and 5,067.83

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Solution

The fourth proportional to 5,812.32, 8,042.12 and 5,067.83 is: 7,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.32 : 8,042.12 = 5,067.83 : x
  2. Step 2: Convert to fraction form
    5,812.32/8,042.12 = 5,067.83/x
  3. Step 3: Cross multiply
    5,812.32x = 8,042.12 × 5,067.83
  4. Step 4: Simplify right side
    5,812.32x = 40,756,031.45
  5. Step 5: Solve for x
    x = 40,756,031.45/5,812.32
  6. Step 6: Final answer
    x = 7,012.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.