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Finding the Fourth Proportional to 10,455.70, 14,429.62 and 5,979.34

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Solution

The fourth proportional to 10,455.70, 14,429.62 and 5,979.34 is: 8,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.70 : 14,429.62 = 5,979.34 : x
  2. Step 2: Convert to fraction form
    10,455.70/14,429.62 = 5,979.34/x
  3. Step 3: Cross multiply
    10,455.70x = 14,429.62 × 5,979.34
  4. Step 4: Simplify right side
    10,455.70x = 86,279,604.05
  5. Step 5: Solve for x
    x = 86,279,604.05/10,455.70
  6. Step 6: Final answer
    x = 8,251.92

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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.