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Finding the Fourth Proportional to 8,194.65, 11,305.40 and 5,045.37

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Solution

The fourth proportional to 8,194.65, 11,305.40 and 5,045.37 is: 6,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.65 : 11,305.40 = 5,045.37 : x
  2. Step 2: Convert to fraction form
    8,194.65/11,305.40 = 5,045.37/x
  3. Step 3: Cross multiply
    8,194.65x = 11,305.40 × 5,045.37
  4. Step 4: Simplify right side
    8,194.65x = 57,039,869.47
  5. Step 5: Solve for x
    x = 57,039,869.47/8,194.65
  6. Step 6: Final answer
    x = 6,960.63

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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.