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Finding the Fourth Proportional to 11,429.57, 15,774.26 and 6,394.07

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Solution

The fourth proportional to 11,429.57, 15,774.26 and 6,394.07 is: 8,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.57 : 15,774.26 = 6,394.07 : x
  2. Step 2: Convert to fraction form
    11,429.57/15,774.26 = 6,394.07/x
  3. Step 3: Cross multiply
    11,429.57x = 15,774.26 × 6,394.07
  4. Step 4: Simplify right side
    11,429.57x = 100,861,722.64
  5. Step 5: Solve for x
    x = 100,861,722.64/11,429.57
  6. Step 6: Final answer
    x = 8,824.63

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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.