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Finding the Fourth Proportional to 8,098.58, 12,150 and 2,552.11

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Solution

The fourth proportional to 8,098.58, 12,150 and 2,552.11 is: 3,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.58 : 12,150 = 2,552.11 : x
  2. Step 2: Convert to fraction form
    8,098.58/12,150 = 2,552.11/x
  3. Step 3: Cross multiply
    8,098.58x = 12,150 × 2,552.11
  4. Step 4: Simplify right side
    8,098.58x = 31,008,106.13
  5. Step 5: Solve for x
    x = 31,008,106.13/8,098.58
  6. Step 6: Final answer
    x = 3,828.83

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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.