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Finding the Fourth Proportional to 8,352.58, 12,433.42 and 8,228

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Solution

The fourth proportional to 8,352.58, 12,433.42 and 8,228 is: 12,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.58 : 12,433.42 = 8,228 : x
  2. Step 2: Convert to fraction form
    8,352.58/12,433.42 = 8,228/x
  3. Step 3: Cross multiply
    8,352.58x = 12,433.42 × 8,228
  4. Step 4: Simplify right side
    8,352.58x = 102,302,179.76
  5. Step 5: Solve for x
    x = 102,302,179.76/8,352.58
  6. Step 6: Final answer
    x = 12,247.98

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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.