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Finding the Fourth Proportional to 8,786.66, 13,184.31 and 4,106.99

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Solution

The fourth proportional to 8,786.66, 13,184.31 and 4,106.99 is: 6,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,786.66 : 13,184.31 = 4,106.99 : x
  2. Step 2: Convert to fraction form
    8,786.66/13,184.31 = 4,106.99/x
  3. Step 3: Cross multiply
    8,786.66x = 13,184.31 × 4,106.99
  4. Step 4: Simplify right side
    8,786.66x = 54,147,763.41
  5. Step 5: Solve for x
    x = 54,147,763.41/8,786.66
  6. Step 6: Final answer
    x = 6,162.50

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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.