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Finding the Fourth Proportional to 7,920.25, 11,872.05 and 2,653.96

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Solution

The fourth proportional to 7,920.25, 11,872.05 and 2,653.96 is: 3,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.25 : 11,872.05 = 2,653.96 : x
  2. Step 2: Convert to fraction form
    7,920.25/11,872.05 = 2,653.96/x
  3. Step 3: Cross multiply
    7,920.25x = 11,872.05 × 2,653.96
  4. Step 4: Simplify right side
    7,920.25x = 31,507,945.82
  5. Step 5: Solve for x
    x = 31,507,945.82/7,920.25
  6. Step 6: Final answer
    x = 3,978.15

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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.