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Finding the Fourth Proportional to 7,439.80, 11,167.80 and 4,151.20

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Solution

The fourth proportional to 7,439.80, 11,167.80 and 4,151.20 is: 6,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.80 : 11,167.80 = 4,151.20 : x
  2. Step 2: Convert to fraction form
    7,439.80/11,167.80 = 4,151.20/x
  3. Step 3: Cross multiply
    7,439.80x = 11,167.80 × 4,151.20
  4. Step 4: Simplify right side
    7,439.80x = 46,359,771.36
  5. Step 5: Solve for x
    x = 46,359,771.36/7,439.80
  6. Step 6: Final answer
    x = 6,231.32

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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.