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Finding the Fourth Proportional to 10,339.91, 14,268.97 and 5,624.19

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Solution

The fourth proportional to 10,339.91, 14,268.97 and 5,624.19 is: 7,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.91 : 14,268.97 = 5,624.19 : x
  2. Step 2: Convert to fraction form
    10,339.91/14,268.97 = 5,624.19/x
  3. Step 3: Cross multiply
    10,339.91x = 14,268.97 × 5,624.19
  4. Step 4: Simplify right side
    10,339.91x = 80,251,398.38
  5. Step 5: Solve for x
    x = 80,251,398.38/10,339.91
  6. Step 6: Final answer
    x = 7,761.32

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Why These Related Problems?

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