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Finding the Fourth Proportional to 7,822.66, 11,733.99 and 4,743.94

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Solution

The fourth proportional to 7,822.66, 11,733.99 and 4,743.94 is: 7,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.66 : 11,733.99 = 4,743.94 : x
  2. Step 2: Convert to fraction form
    7,822.66/11,733.99 = 4,743.94/x
  3. Step 3: Cross multiply
    7,822.66x = 11,733.99 × 4,743.94
  4. Step 4: Simplify right side
    7,822.66x = 55,665,344.52
  5. Step 5: Solve for x
    x = 55,665,344.52/7,822.66
  6. Step 6: Final answer
    x = 7,115.91

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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.