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Finding the Fourth Proportional to 7,734.88, 10,673.94 and 4,591

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Solution

The fourth proportional to 7,734.88, 10,673.94 and 4,591 is: 6,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.88 : 10,673.94 = 4,591 : x
  2. Step 2: Convert to fraction form
    7,734.88/10,673.94 = 4,591/x
  3. Step 3: Cross multiply
    7,734.88x = 10,673.94 × 4,591
  4. Step 4: Simplify right side
    7,734.88x = 49,004,058.54
  5. Step 5: Solve for x
    x = 49,004,058.54/7,734.88
  6. Step 6: Final answer
    x = 6,335.46

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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.