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Finding the Fourth Proportional to 6,842.89, 10,267.12 and 2,460.69

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Solution

The fourth proportional to 6,842.89, 10,267.12 and 2,460.69 is: 3,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.89 : 10,267.12 = 2,460.69 : x
  2. Step 2: Convert to fraction form
    6,842.89/10,267.12 = 2,460.69/x
  3. Step 3: Cross multiply
    6,842.89x = 10,267.12 × 2,460.69
  4. Step 4: Simplify right side
    6,842.89x = 25,264,202.59
  5. Step 5: Solve for x
    x = 25,264,202.59/6,842.89
  6. Step 6: Final answer
    x = 3,692.04

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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.