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Finding the Fourth Proportional to 7,976.64, 11,008 and 4,391.78

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Solution

The fourth proportional to 7,976.64, 11,008 and 4,391.78 is: 6,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.64 : 11,008 = 4,391.78 : x
  2. Step 2: Convert to fraction form
    7,976.64/11,008 = 4,391.78/x
  3. Step 3: Cross multiply
    7,976.64x = 11,008 × 4,391.78
  4. Step 4: Simplify right side
    7,976.64x = 48,344,714.24
  5. Step 5: Solve for x
    x = 48,344,714.24/7,976.64
  6. Step 6: Final answer
    x = 6,060.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.