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Finding the Fourth Proportional to 7,745.84, 10,690.81 and 4,601.42

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Solution

The fourth proportional to 7,745.84, 10,690.81 and 4,601.42 is: 6,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.84 : 10,690.81 = 4,601.42 : x
  2. Step 2: Convert to fraction form
    7,745.84/10,690.81 = 4,601.42/x
  3. Step 3: Cross multiply
    7,745.84x = 10,690.81 × 4,601.42
  4. Step 4: Simplify right side
    7,745.84x = 49,192,841.99
  5. Step 5: Solve for x
    x = 49,192,841.99/7,745.84
  6. Step 6: Final answer
    x = 6,350.88

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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.