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Finding the Fourth Proportional to 7,732.49, 10,670.83 and 4,375.23

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Solution

The fourth proportional to 7,732.49, 10,670.83 and 4,375.23 is: 6,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.49 : 10,670.83 = 4,375.23 : x
  2. Step 2: Convert to fraction form
    7,732.49/10,670.83 = 4,375.23/x
  3. Step 3: Cross multiply
    7,732.49x = 10,670.83 × 4,375.23
  4. Step 4: Simplify right side
    7,732.49x = 46,687,335.54
  5. Step 5: Solve for x
    x = 46,687,335.54/7,732.49
  6. Step 6: Final answer
    x = 6,037.82

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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.