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Finding the Fourth Proportional to 7,976.78, 11,957.45 and 4,468.49

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Solution

The fourth proportional to 7,976.78, 11,957.45 and 4,468.49 is: 6,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.78 : 11,957.45 = 4,468.49 : x
  2. Step 2: Convert to fraction form
    7,976.78/11,957.45 = 4,468.49/x
  3. Step 3: Cross multiply
    7,976.78x = 11,957.45 × 4,468.49
  4. Step 4: Simplify right side
    7,976.78x = 53,431,663.62
  5. Step 5: Solve for x
    x = 53,431,663.62/7,976.78
  6. Step 6: Final answer
    x = 6,698.40

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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.