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Finding the Fourth Proportional to 8,064.66, 12,101.66 and 3,384.25

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Solution

The fourth proportional to 8,064.66, 12,101.66 and 3,384.25 is: 5,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.66 : 12,101.66 = 3,384.25 : x
  2. Step 2: Convert to fraction form
    8,064.66/12,101.66 = 3,384.25/x
  3. Step 3: Cross multiply
    8,064.66x = 12,101.66 × 3,384.25
  4. Step 4: Simplify right side
    8,064.66x = 40,955,025.93
  5. Step 5: Solve for x
    x = 40,955,025.93/8,064.66
  6. Step 6: Final answer
    x = 5,078.34

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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.