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Finding the Fourth Proportional to 8,162.66, 12,252.10 and 4,786.58

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Solution

The fourth proportional to 8,162.66, 12,252.10 and 4,786.58 is: 7,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.66 : 12,252.10 = 4,786.58 : x
  2. Step 2: Convert to fraction form
    8,162.66/12,252.10 = 4,786.58/x
  3. Step 3: Cross multiply
    8,162.66x = 12,252.10 × 4,786.58
  4. Step 4: Simplify right side
    8,162.66x = 58,645,656.82
  5. Step 5: Solve for x
    x = 58,645,656.82/8,162.66
  6. Step 6: Final answer
    x = 7,184.63

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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.