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Finding the Fourth Proportional to 7,188.57, 10,767.33 and 3,894.71

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Solution

The fourth proportional to 7,188.57, 10,767.33 and 3,894.71 is: 5,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.57 : 10,767.33 = 3,894.71 : x
  2. Step 2: Convert to fraction form
    7,188.57/10,767.33 = 3,894.71/x
  3. Step 3: Cross multiply
    7,188.57x = 10,767.33 × 3,894.71
  4. Step 4: Simplify right side
    7,188.57x = 41,935,573.99
  5. Step 5: Solve for x
    x = 41,935,573.99/7,188.57
  6. Step 6: Final answer
    x = 5,833.65

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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.