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Finding the Fourth Proportional to 6,965.33, 10,449.54 and 2,582.69

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Solution

The fourth proportional to 6,965.33, 10,449.54 and 2,582.69 is: 3,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.33 : 10,449.54 = 2,582.69 : x
  2. Step 2: Convert to fraction form
    6,965.33/10,449.54 = 2,582.69/x
  3. Step 3: Cross multiply
    6,965.33x = 10,449.54 × 2,582.69
  4. Step 4: Simplify right side
    6,965.33x = 26,987,870.21
  5. Step 5: Solve for x
    x = 26,987,870.21/6,965.33
  6. Step 6: Final answer
    x = 3,874.60

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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.