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Finding the Fourth Proportional to 7,633.65, 10,535.73 and 4,650.66

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Solution

The fourth proportional to 7,633.65, 10,535.73 and 4,650.66 is: 6,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.65 : 10,535.73 = 4,650.66 : x
  2. Step 2: Convert to fraction form
    7,633.65/10,535.73 = 4,650.66/x
  3. Step 3: Cross multiply
    7,633.65x = 10,535.73 × 4,650.66
  4. Step 4: Simplify right side
    7,633.65x = 48,998,098.08
  5. Step 5: Solve for x
    x = 48,998,098.08/7,633.65
  6. Step 6: Final answer
    x = 6,418.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.