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Finding the Fourth Proportional to 7,178.62, 10,770.64 and 4,062.14

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Solution

The fourth proportional to 7,178.62, 10,770.64 and 4,062.14 is: 6,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.62 : 10,770.64 = 4,062.14 : x
  2. Step 2: Convert to fraction form
    7,178.62/10,770.64 = 4,062.14/x
  3. Step 3: Cross multiply
    7,178.62x = 10,770.64 × 4,062.14
  4. Step 4: Simplify right side
    7,178.62x = 43,751,847.57
  5. Step 5: Solve for x
    x = 43,751,847.57/7,178.62
  6. Step 6: Final answer
    x = 6,094.74

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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.