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Finding the Fourth Proportional to 7,733.78, 10,672.64 and 4,197

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Solution

The fourth proportional to 7,733.78, 10,672.64 and 4,197 is: 5,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.78 : 10,672.64 = 4,197 : x
  2. Step 2: Convert to fraction form
    7,733.78/10,672.64 = 4,197/x
  3. Step 3: Cross multiply
    7,733.78x = 10,672.64 × 4,197
  4. Step 4: Simplify right side
    7,733.78x = 44,793,070.08
  5. Step 5: Solve for x
    x = 44,793,070.08/7,733.78
  6. Step 6: Final answer
    x = 5,791.87

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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.