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Finding the Fourth Proportional to 11,412.54, 15,749.13 and 6,376.83

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Solution

The fourth proportional to 11,412.54, 15,749.13 and 6,376.83 is: 8,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.54 : 15,749.13 = 6,376.83 : x
  2. Step 2: Convert to fraction form
    11,412.54/15,749.13 = 6,376.83/x
  3. Step 3: Cross multiply
    11,412.54x = 15,749.13 × 6,376.83
  4. Step 4: Simplify right side
    11,412.54x = 100,429,524.66
  5. Step 5: Solve for x
    x = 100,429,524.66/11,412.54
  6. Step 6: Final answer
    x = 8,799.93

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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.