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Finding the Fourth Proportional to 7,766.01, 11,589.35 and 6,935.61

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Solution

The fourth proportional to 7,766.01, 11,589.35 and 6,935.61 is: 10,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.01 : 11,589.35 = 6,935.61 : x
  2. Step 2: Convert to fraction form
    7,766.01/11,589.35 = 6,935.61/x
  3. Step 3: Cross multiply
    7,766.01x = 11,589.35 × 6,935.61
  4. Step 4: Simplify right side
    7,766.01x = 80,379,177.08
  5. Step 5: Solve for x
    x = 80,379,177.08/7,766.01
  6. Step 6: Final answer
    x = 10,350.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.