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Finding the Fourth Proportional to 7,659.78, 11,478.96 and 4,142.19

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Solution

The fourth proportional to 7,659.78, 11,478.96 and 4,142.19 is: 6,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.78 : 11,478.96 = 4,142.19 : x
  2. Step 2: Convert to fraction form
    7,659.78/11,478.96 = 4,142.19/x
  3. Step 3: Cross multiply
    7,659.78x = 11,478.96 × 4,142.19
  4. Step 4: Simplify right side
    7,659.78x = 47,548,033.32
  5. Step 5: Solve for x
    x = 47,548,033.32/7,659.78
  6. Step 6: Final answer
    x = 6,207.49

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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.