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Finding the Fourth Proportional to 10,458.57, 14,429.26 and 5,979.15

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Solution

The fourth proportional to 10,458.57, 14,429.26 and 5,979.15 is: 8,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.57 : 14,429.26 = 5,979.15 : x
  2. Step 2: Convert to fraction form
    10,458.57/14,429.26 = 5,979.15/x
  3. Step 3: Cross multiply
    10,458.57x = 14,429.26 × 5,979.15
  4. Step 4: Simplify right side
    10,458.57x = 86,274,709.93
  5. Step 5: Solve for x
    x = 86,274,709.93/10,458.57
  6. Step 6: Final answer
    x = 8,249.19

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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.