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Finding the Fourth Proportional to 11,144.75, 15,379.76 and 6,429.74

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Solution

The fourth proportional to 11,144.75, 15,379.76 and 6,429.74 is: 8,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.75 : 15,379.76 = 6,429.74 : x
  2. Step 2: Convert to fraction form
    11,144.75/15,379.76 = 6,429.74/x
  3. Step 3: Cross multiply
    11,144.75x = 15,379.76 × 6,429.74
  4. Step 4: Simplify right side
    11,144.75x = 98,887,825.91
  5. Step 5: Solve for x
    x = 98,887,825.91/11,144.75
  6. Step 6: Final answer
    x = 8,873.04

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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.