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Finding the Fourth Proportional to 7,732.26, 10,665.77 and 6,833.11

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Solution

The fourth proportional to 7,732.26, 10,665.77 and 6,833.11 is: 9,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.26 : 10,665.77 = 6,833.11 : x
  2. Step 2: Convert to fraction form
    7,732.26/10,665.77 = 6,833.11/x
  3. Step 3: Cross multiply
    7,732.26x = 10,665.77 × 6,833.11
  4. Step 4: Simplify right side
    7,732.26x = 72,880,345.48
  5. Step 5: Solve for x
    x = 72,880,345.48/7,732.26
  6. Step 6: Final answer
    x = 9,425.50

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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.