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Finding the Fourth Proportional to 7,920.42, 11,883.88 and 3,475.78

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Solution

The fourth proportional to 7,920.42, 11,883.88 and 3,475.78 is: 5,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.42 : 11,883.88 = 3,475.78 : x
  2. Step 2: Convert to fraction form
    7,920.42/11,883.88 = 3,475.78/x
  3. Step 3: Cross multiply
    7,920.42x = 11,883.88 × 3,475.78
  4. Step 4: Simplify right side
    7,920.42x = 41,305,752.43
  5. Step 5: Solve for x
    x = 41,305,752.43/7,920.42
  6. Step 6: Final answer
    x = 5,215.10

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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.