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Finding the Fourth Proportional to 7,844.18, 10,816.52 and 5,934.32

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Solution

The fourth proportional to 7,844.18, 10,816.52 and 5,934.32 is: 8,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.18 : 10,816.52 = 5,934.32 : x
  2. Step 2: Convert to fraction form
    7,844.18/10,816.52 = 5,934.32/x
  3. Step 3: Cross multiply
    7,844.18x = 10,816.52 × 5,934.32
  4. Step 4: Simplify right side
    7,844.18x = 64,188,690.97
  5. Step 5: Solve for x
    x = 64,188,690.97/7,844.18
  6. Step 6: Final answer
    x = 8,182.97

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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.