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Finding the Fourth Proportional to 10,339.66, 14,268.78 and 5,623.97

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Solution

The fourth proportional to 10,339.66, 14,268.78 and 5,623.97 is: 7,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.66 : 14,268.78 = 5,623.97 : x
  2. Step 2: Convert to fraction form
    10,339.66/14,268.78 = 5,623.97/x
  3. Step 3: Cross multiply
    10,339.66x = 14,268.78 × 5,623.97
  4. Step 4: Simplify right side
    10,339.66x = 80,247,162.54
  5. Step 5: Solve for x
    x = 80,247,162.54/10,339.66
  6. Step 6: Final answer
    x = 7,761.11

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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.