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Finding the Fourth Proportional to 7,968.41, 11,957.88 and 7,906.85

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Solution

The fourth proportional to 7,968.41, 11,957.88 and 7,906.85 is: 11,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.41 : 11,957.88 = 7,906.85 : x
  2. Step 2: Convert to fraction form
    7,968.41/11,957.88 = 7,906.85/x
  3. Step 3: Cross multiply
    7,968.41x = 11,957.88 × 7,906.85
  4. Step 4: Simplify right side
    7,968.41x = 94,549,133.71
  5. Step 5: Solve for x
    x = 94,549,133.71/7,968.41
  6. Step 6: Final answer
    x = 11,865.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.