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Finding the Fourth Proportional to 8,786.16, 13,178.84 and 3,239.10

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Solution

The fourth proportional to 8,786.16, 13,178.84 and 3,239.10 is: 4,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,786.16 : 13,178.84 = 3,239.10 : x
  2. Step 2: Convert to fraction form
    8,786.16/13,178.84 = 3,239.10/x
  3. Step 3: Cross multiply
    8,786.16x = 13,178.84 × 3,239.10
  4. Step 4: Simplify right side
    8,786.16x = 42,687,564.45
  5. Step 5: Solve for x
    x = 42,687,564.45/8,786.16
  6. Step 6: Final answer
    x = 4,858.50

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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.