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Finding the Fourth Proportional to 7,850.58, 11,775.87 and 3,472.50

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Solution

The fourth proportional to 7,850.58, 11,775.87 and 3,472.50 is: 5,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.58 : 11,775.87 = 3,472.50 : x
  2. Step 2: Convert to fraction form
    7,850.58/11,775.87 = 3,472.50/x
  3. Step 3: Cross multiply
    7,850.58x = 11,775.87 × 3,472.50
  4. Step 4: Simplify right side
    7,850.58x = 40,891,708.58
  5. Step 5: Solve for x
    x = 40,891,708.58/7,850.58
  6. Step 6: Final answer
    x = 5,208.75

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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.