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Finding the Fourth Proportional to 7,026.57, 10,532.97 and 2,582.91

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Solution

The fourth proportional to 7,026.57, 10,532.97 and 2,582.91 is: 3,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.57 : 10,532.97 = 2,582.91 : x
  2. Step 2: Convert to fraction form
    7,026.57/10,532.97 = 2,582.91/x
  3. Step 3: Cross multiply
    7,026.57x = 10,532.97 × 2,582.91
  4. Step 4: Simplify right side
    7,026.57x = 27,205,713.54
  5. Step 5: Solve for x
    x = 27,205,713.54/7,026.57
  6. Step 6: Final answer
    x = 3,871.83

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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.