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Finding the Fourth Proportional to 7,864.93, 11,797.52 and 2,021.41

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Solution

The fourth proportional to 7,864.93, 11,797.52 and 2,021.41 is: 3,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.93 : 11,797.52 = 2,021.41 : x
  2. Step 2: Convert to fraction form
    7,864.93/11,797.52 = 2,021.41/x
  3. Step 3: Cross multiply
    7,864.93x = 11,797.52 × 2,021.41
  4. Step 4: Simplify right side
    7,864.93x = 23,847,624.90
  5. Step 5: Solve for x
    x = 23,847,624.90/7,864.93
  6. Step 6: Final answer
    x = 3,032.15

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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.