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Finding the Fourth Proportional to 8,612.37, 12,866.19 and 5,467.14

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Solution

The fourth proportional to 8,612.37, 12,866.19 and 5,467.14 is: 8,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.37 : 12,866.19 = 5,467.14 : x
  2. Step 2: Convert to fraction form
    8,612.37/12,866.19 = 5,467.14/x
  3. Step 3: Cross multiply
    8,612.37x = 12,866.19 × 5,467.14
  4. Step 4: Simplify right side
    8,612.37x = 70,341,262.00
  5. Step 5: Solve for x
    x = 70,341,262.00/8,612.37
  6. Step 6: Final answer
    x = 8,167.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.