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Finding the Fourth Proportional to 7,842.24, 11,763.12 and 2,648.16

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Solution

The fourth proportional to 7,842.24, 11,763.12 and 2,648.16 is: 3,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.24 : 11,763.12 = 2,648.16 : x
  2. Step 2: Convert to fraction form
    7,842.24/11,763.12 = 2,648.16/x
  3. Step 3: Cross multiply
    7,842.24x = 11,763.12 × 2,648.16
  4. Step 4: Simplify right side
    7,842.24x = 31,150,623.86
  5. Step 5: Solve for x
    x = 31,150,623.86/7,842.24
  6. Step 6: Final answer
    x = 3,972.16

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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.