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Finding the Fourth Proportional to 8,282.88, 12,424.32 and 2,126.88

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Solution

The fourth proportional to 8,282.88, 12,424.32 and 2,126.88 is: 3,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.88 : 12,424.32 = 2,126.88 : x
  2. Step 2: Convert to fraction form
    8,282.88/12,424.32 = 2,126.88/x
  3. Step 3: Cross multiply
    8,282.88x = 12,424.32 × 2,126.88
  4. Step 4: Simplify right side
    8,282.88x = 26,425,037.72
  5. Step 5: Solve for x
    x = 26,425,037.72/8,282.88
  6. Step 6: Final answer
    x = 3,190.32

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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.