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Finding the Fourth Proportional to 8,900.68, 12,282.82 and 4,922.06

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Solution

The fourth proportional to 8,900.68, 12,282.82 and 4,922.06 is: 6,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.68 : 12,282.82 = 4,922.06 : x
  2. Step 2: Convert to fraction form
    8,900.68/12,282.82 = 4,922.06/x
  3. Step 3: Cross multiply
    8,900.68x = 12,282.82 × 4,922.06
  4. Step 4: Simplify right side
    8,900.68x = 60,456,777.01
  5. Step 5: Solve for x
    x = 60,456,777.01/8,900.68
  6. Step 6: Final answer
    x = 6,792.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.