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Finding the Fourth Proportional to 6,842.50, 10,264.74 and 2,160.92

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Solution

The fourth proportional to 6,842.50, 10,264.74 and 2,160.92 is: 3,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.50 : 10,264.74 = 2,160.92 : x
  2. Step 2: Convert to fraction form
    6,842.50/10,264.74 = 2,160.92/x
  3. Step 3: Cross multiply
    6,842.50x = 10,264.74 × 2,160.92
  4. Step 4: Simplify right side
    6,842.50x = 22,181,281.96
  5. Step 5: Solve for x
    x = 22,181,281.96/6,842.50
  6. Step 6: Final answer
    x = 3,241.69

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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.