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Finding the Fourth Proportional to 8,215.84, 12,323.76 and 2,292.49

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Solution

The fourth proportional to 8,215.84, 12,323.76 and 2,292.49 is: 3,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.84 : 12,323.76 = 2,292.49 : x
  2. Step 2: Convert to fraction form
    8,215.84/12,323.76 = 2,292.49/x
  3. Step 3: Cross multiply
    8,215.84x = 12,323.76 × 2,292.49
  4. Step 4: Simplify right side
    8,215.84x = 28,252,034.94
  5. Step 5: Solve for x
    x = 28,252,034.94/8,215.84
  6. Step 6: Final answer
    x = 3,438.73

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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.