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Finding the Fourth Proportional to 7,188.57, 10,775.30 and 2,805.93

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Solution

The fourth proportional to 7,188.57, 10,775.30 and 2,805.93 is: 4,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.57 : 10,775.30 = 2,805.93 : x
  2. Step 2: Convert to fraction form
    7,188.57/10,775.30 = 2,805.93/x
  3. Step 3: Cross multiply
    7,188.57x = 10,775.30 × 2,805.93
  4. Step 4: Simplify right side
    7,188.57x = 30,234,723.50
  5. Step 5: Solve for x
    x = 30,234,723.50/7,188.57
  6. Step 6: Final answer
    x = 4,205.94

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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.