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Finding the Fourth Proportional to 8,511.81, 11,741.94 and 5,154.78

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Solution

The fourth proportional to 8,511.81, 11,741.94 and 5,154.78 is: 7,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.81 : 11,741.94 = 5,154.78 : x
  2. Step 2: Convert to fraction form
    8,511.81/11,741.94 = 5,154.78/x
  3. Step 3: Cross multiply
    8,511.81x = 11,741.94 × 5,154.78
  4. Step 4: Simplify right side
    8,511.81x = 60,527,117.47
  5. Step 5: Solve for x
    x = 60,527,117.47/8,511.81
  6. Step 6: Final answer
    x = 7,110.96

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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.