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Finding the Fourth Proportional to 11,429.76, 15,773.01 and 6,394.56

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Solution

The fourth proportional to 11,429.76, 15,773.01 and 6,394.56 is: 8,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.76 : 15,773.01 = 6,394.56 : x
  2. Step 2: Convert to fraction form
    11,429.76/15,773.01 = 6,394.56/x
  3. Step 3: Cross multiply
    11,429.76x = 15,773.01 × 6,394.56
  4. Step 4: Simplify right side
    11,429.76x = 100,861,458.83
  5. Step 5: Solve for x
    x = 100,861,458.83/11,429.76
  6. Step 6: Final answer
    x = 8,824.46

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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.