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Finding the Fourth Proportional to 7,922.68, 11,872 and 5,938.72

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Solution

The fourth proportional to 7,922.68, 11,872 and 5,938.72 is: 8,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.68 : 11,872 = 5,938.72 : x
  2. Step 2: Convert to fraction form
    7,922.68/11,872 = 5,938.72/x
  3. Step 3: Cross multiply
    7,922.68x = 11,872 × 5,938.72
  4. Step 4: Simplify right side
    7,922.68x = 70,504,483.84
  5. Step 5: Solve for x
    x = 70,504,483.84/7,922.68
  6. Step 6: Final answer
    x = 8,899.07

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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.