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Finding the Fourth Proportional to 6,842.80, 10,259.64 and 2,459.69

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Solution

The fourth proportional to 6,842.80, 10,259.64 and 2,459.69 is: 3,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.80 : 10,259.64 = 2,459.69 : x
  2. Step 2: Convert to fraction form
    6,842.80/10,259.64 = 2,459.69/x
  3. Step 3: Cross multiply
    6,842.80x = 10,259.64 × 2,459.69
  4. Step 4: Simplify right side
    6,842.80x = 25,235,518.39
  5. Step 5: Solve for x
    x = 25,235,518.39/6,842.80
  6. Step 6: Final answer
    x = 3,687.89

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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.