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Finding the Fourth Proportional to 8,576.93, 12,842.84 and 6,902.15

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Solution

The fourth proportional to 8,576.93, 12,842.84 and 6,902.15 is: 10,335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.93 : 12,842.84 = 6,902.15 : x
  2. Step 2: Convert to fraction form
    8,576.93/12,842.84 = 6,902.15/x
  3. Step 3: Cross multiply
    8,576.93x = 12,842.84 × 6,902.15
  4. Step 4: Simplify right side
    8,576.93x = 88,643,109.38
  5. Step 5: Solve for x
    x = 88,643,109.38/8,576.93
  6. Step 6: Final answer
    x = 10,335.07

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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.