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Finding the Fourth Proportional to 7,640.30, 11,408.18 and 6,844.52

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Solution

The fourth proportional to 7,640.30, 11,408.18 and 6,844.52 is: 10,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.30 : 11,408.18 = 6,844.52 : x
  2. Step 2: Convert to fraction form
    7,640.30/11,408.18 = 6,844.52/x
  3. Step 3: Cross multiply
    7,640.30x = 11,408.18 × 6,844.52
  4. Step 4: Simplify right side
    7,640.30x = 78,083,516.17
  5. Step 5: Solve for x
    x = 78,083,516.17/7,640.30
  6. Step 6: Final answer
    x = 10,219.95

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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.