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Finding the Fourth Proportional to 10,454.96, 14,427.74 and 5,979.83

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Solution

The fourth proportional to 10,454.96, 14,427.74 and 5,979.83 is: 8,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.96 : 14,427.74 = 5,979.83 : x
  2. Step 2: Convert to fraction form
    10,454.96/14,427.74 = 5,979.83/x
  3. Step 3: Cross multiply
    10,454.96x = 14,427.74 × 5,979.83
  4. Step 4: Simplify right side
    10,454.96x = 86,275,375.30
  5. Step 5: Solve for x
    x = 86,275,375.30/10,454.96
  6. Step 6: Final answer
    x = 8,252.10

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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.