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Finding the Fourth Proportional to 8,922.68, 12,285.81 and 7,926.23

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Solution

The fourth proportional to 8,922.68, 12,285.81 and 7,926.23 is: 10,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.68 : 12,285.81 = 7,926.23 : x
  2. Step 2: Convert to fraction form
    8,922.68/12,285.81 = 7,926.23/x
  3. Step 3: Cross multiply
    8,922.68x = 12,285.81 × 7,926.23
  4. Step 4: Simplify right side
    8,922.68x = 97,380,155.80
  5. Step 5: Solve for x
    x = 97,380,155.80/8,922.68
  6. Step 6: Final answer
    x = 10,913.78

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