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Finding the Fourth Proportional to 8,782.31, 12,115.34 and 5,196.29

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Solution

The fourth proportional to 8,782.31, 12,115.34 and 5,196.29 is: 7,168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.31 : 12,115.34 = 5,196.29 : x
  2. Step 2: Convert to fraction form
    8,782.31/12,115.34 = 5,196.29/x
  3. Step 3: Cross multiply
    8,782.31x = 12,115.34 × 5,196.29
  4. Step 4: Simplify right side
    8,782.31x = 62,954,863.37
  5. Step 5: Solve for x
    x = 62,954,863.37/8,782.31
  6. Step 6: Final answer
    x = 7,168.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.