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Finding the Fourth Proportional to 8,540.85, 12,817.76 and 5,760.93

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Solution

The fourth proportional to 8,540.85, 12,817.76 and 5,760.93 is: 8,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.85 : 12,817.76 = 5,760.93 : x
  2. Step 2: Convert to fraction form
    8,540.85/12,817.76 = 5,760.93/x
  3. Step 3: Cross multiply
    8,540.85x = 12,817.76 × 5,760.93
  4. Step 4: Simplify right side
    8,540.85x = 73,842,189.31
  5. Step 5: Solve for x
    x = 73,842,189.31/8,540.85
  6. Step 6: Final answer
    x = 8,645.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.