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Finding the Fourth Proportional to 7,007.50, 10,514.05 and 2,847.83

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Solution

The fourth proportional to 7,007.50, 10,514.05 and 2,847.83 is: 4,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.50 : 10,514.05 = 2,847.83 : x
  2. Step 2: Convert to fraction form
    7,007.50/10,514.05 = 2,847.83/x
  3. Step 3: Cross multiply
    7,007.50x = 10,514.05 × 2,847.83
  4. Step 4: Simplify right side
    7,007.50x = 29,942,260.04
  5. Step 5: Solve for x
    x = 29,942,260.04/7,007.50
  6. Step 6: Final answer
    x = 4,272.89

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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.