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Finding the Fourth Proportional to 7,634.94, 11,456.13 and 3,737.22

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Solution

The fourth proportional to 7,634.94, 11,456.13 and 3,737.22 is: 5,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.94 : 11,456.13 = 3,737.22 : x
  2. Step 2: Convert to fraction form
    7,634.94/11,456.13 = 3,737.22/x
  3. Step 3: Cross multiply
    7,634.94x = 11,456.13 × 3,737.22
  4. Step 4: Simplify right side
    7,634.94x = 42,814,078.16
  5. Step 5: Solve for x
    x = 42,814,078.16/7,634.94
  6. Step 6: Final answer
    x = 5,607.65

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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.