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Finding the Fourth Proportional to 7,966.16, 10,992.96 and 4,608.80

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Solution

The fourth proportional to 7,966.16, 10,992.96 and 4,608.80 is: 6,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.16 : 10,992.96 = 4,608.80 : x
  2. Step 2: Convert to fraction form
    7,966.16/10,992.96 = 4,608.80/x
  3. Step 3: Cross multiply
    7,966.16x = 10,992.96 × 4,608.80
  4. Step 4: Simplify right side
    7,966.16x = 50,664,354.05
  5. Step 5: Solve for x
    x = 50,664,354.05/7,966.16
  6. Step 6: Final answer
    x = 6,359.95

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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.