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Finding the Fourth Proportional to 7,855.84, 11,785.49 and 2,592.48

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Solution

The fourth proportional to 7,855.84, 11,785.49 and 2,592.48 is: 3,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.84 : 11,785.49 = 2,592.48 : x
  2. Step 2: Convert to fraction form
    7,855.84/11,785.49 = 2,592.48/x
  3. Step 3: Cross multiply
    7,855.84x = 11,785.49 × 2,592.48
  4. Step 4: Simplify right side
    7,855.84x = 30,553,588.19
  5. Step 5: Solve for x
    x = 30,553,588.19/7,855.84
  6. Step 6: Final answer
    x = 3,889.29

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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.