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Finding the Fourth Proportional to 7,625.88, 11,435.40 and 3,180.24

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Solution

The fourth proportional to 7,625.88, 11,435.40 and 3,180.24 is: 4,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.88 : 11,435.40 = 3,180.24 : x
  2. Step 2: Convert to fraction form
    7,625.88/11,435.40 = 3,180.24/x
  3. Step 3: Cross multiply
    7,625.88x = 11,435.40 × 3,180.24
  4. Step 4: Simplify right side
    7,625.88x = 36,367,316.50
  5. Step 5: Solve for x
    x = 36,367,316.50/7,625.88
  6. Step 6: Final answer
    x = 4,768.93

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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.