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Finding the Fourth Proportional to 8,782.11, 13,164.28 and 3,158.11

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Solution

The fourth proportional to 8,782.11, 13,164.28 and 3,158.11 is: 4,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.11 : 13,164.28 = 3,158.11 : x
  2. Step 2: Convert to fraction form
    8,782.11/13,164.28 = 3,158.11/x
  3. Step 3: Cross multiply
    8,782.11x = 13,164.28 × 3,158.11
  4. Step 4: Simplify right side
    8,782.11x = 41,574,244.31
  5. Step 5: Solve for x
    x = 41,574,244.31/8,782.11
  6. Step 6: Final answer
    x = 4,733.97

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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.