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Finding the Fourth Proportional to 7,341.50, 11,012.79 and 2,147.78

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Solution

The fourth proportional to 7,341.50, 11,012.79 and 2,147.78 is: 3,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341.50 : 11,012.79 = 2,147.78 : x
  2. Step 2: Convert to fraction form
    7,341.50/11,012.79 = 2,147.78/x
  3. Step 3: Cross multiply
    7,341.50x = 11,012.79 × 2,147.78
  4. Step 4: Simplify right side
    7,341.50x = 23,653,050.11
  5. Step 5: Solve for x
    x = 23,653,050.11/7,341.50
  6. Step 6: Final answer
    x = 3,221.83

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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.