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Finding the Fourth Proportional to 7,635.57, 11,460.75 and 3,689.61

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Solution

The fourth proportional to 7,635.57, 11,460.75 and 3,689.61 is: 5,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.57 : 11,460.75 = 3,689.61 : x
  2. Step 2: Convert to fraction form
    7,635.57/11,460.75 = 3,689.61/x
  3. Step 3: Cross multiply
    7,635.57x = 11,460.75 × 3,689.61
  4. Step 4: Simplify right side
    7,635.57x = 42,285,640.50
  5. Step 5: Solve for x
    x = 42,285,640.50/7,635.57
  6. Step 6: Final answer
    x = 5,537.98

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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.