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Finding the Fourth Proportional to 10,454.86, 14,427.27 and 5,739.24

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Solution

The fourth proportional to 10,454.86, 14,427.27 and 5,739.24 is: 7,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.86 : 14,427.27 = 5,739.24 : x
  2. Step 2: Convert to fraction form
    10,454.86/14,427.27 = 5,739.24/x
  3. Step 3: Cross multiply
    10,454.86x = 14,427.27 × 5,739.24
  4. Step 4: Simplify right side
    10,454.86x = 82,801,565.07
  5. Step 5: Solve for x
    x = 82,801,565.07/10,454.86
  6. Step 6: Final answer
    x = 7,919.91

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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.