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Finding the Fourth Proportional to 7,640.92, 11,458.65 and 4,133.52

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Solution

The fourth proportional to 7,640.92, 11,458.65 and 4,133.52 is: 6,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.92 : 11,458.65 = 4,133.52 : x
  2. Step 2: Convert to fraction form
    7,640.92/11,458.65 = 4,133.52/x
  3. Step 3: Cross multiply
    7,640.92x = 11,458.65 × 4,133.52
  4. Step 4: Simplify right side
    7,640.92x = 47,364,558.95
  5. Step 5: Solve for x
    x = 47,364,558.95/7,640.92
  6. Step 6: Final answer
    x = 6,198.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.