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Finding the Fourth Proportional to 7,767.42, 11,640.71 and 4,252.14

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Solution

The fourth proportional to 7,767.42, 11,640.71 and 4,252.14 is: 6,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.42 : 11,640.71 = 4,252.14 : x
  2. Step 2: Convert to fraction form
    7,767.42/11,640.71 = 4,252.14/x
  3. Step 3: Cross multiply
    7,767.42x = 11,640.71 × 4,252.14
  4. Step 4: Simplify right side
    7,767.42x = 49,497,907.36
  5. Step 5: Solve for x
    x = 49,497,907.36/7,767.42
  6. Step 6: Final answer
    x = 6,372.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.