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Finding the Fourth Proportional to 7,007.84, 10,512.78 and 3,257.82

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Solution

The fourth proportional to 7,007.84, 10,512.78 and 3,257.82 is: 4,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.84 : 10,512.78 = 3,257.82 : x
  2. Step 2: Convert to fraction form
    7,007.84/10,512.78 = 3,257.82/x
  3. Step 3: Cross multiply
    7,007.84x = 10,512.78 × 3,257.82
  4. Step 4: Simplify right side
    7,007.84x = 34,248,744.94
  5. Step 5: Solve for x
    x = 34,248,744.94/7,007.84
  6. Step 6: Final answer
    x = 4,887.20

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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.