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Finding the Fourth Proportional to 7,832.14, 10,809.39 and 5,045.74

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Solution

The fourth proportional to 7,832.14, 10,809.39 and 5,045.74 is: 6,963.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.14 : 10,809.39 = 5,045.74 : x
  2. Step 2: Convert to fraction form
    7,832.14/10,809.39 = 5,045.74/x
  3. Step 3: Cross multiply
    7,832.14x = 10,809.39 × 5,045.74
  4. Step 4: Simplify right side
    7,832.14x = 54,541,371.50
  5. Step 5: Solve for x
    x = 54,541,371.50/7,832.14
  6. Step 6: Final answer
    x = 6,963.79

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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.