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Finding the Fourth Proportional to 7,978.68, 11,968 and 3,806.04

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Solution

The fourth proportional to 7,978.68, 11,968 and 3,806.04 is: 5,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.68 : 11,968 = 3,806.04 : x
  2. Step 2: Convert to fraction form
    7,978.68/11,968 = 3,806.04/x
  3. Step 3: Cross multiply
    7,978.68x = 11,968 × 3,806.04
  4. Step 4: Simplify right side
    7,978.68x = 45,550,686.72
  5. Step 5: Solve for x
    x = 45,550,686.72/7,978.68
  6. Step 6: Final answer
    x = 5,709.05

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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.