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Finding the Fourth Proportional to 7,842.12, 11,763.54 and 2,648.04

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Solution

The fourth proportional to 7,842.12, 11,763.54 and 2,648.04 is: 3,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.12 : 11,763.54 = 2,648.04 : x
  2. Step 2: Convert to fraction form
    7,842.12/11,763.54 = 2,648.04/x
  3. Step 3: Cross multiply
    7,842.12x = 11,763.54 × 2,648.04
  4. Step 4: Simplify right side
    7,842.12x = 31,150,324.46
  5. Step 5: Solve for x
    x = 31,150,324.46/7,842.12
  6. Step 6: Final answer
    x = 3,972.18

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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.