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Finding the Fourth Proportional to 8,186.40, 12,284.44 and 4,293

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Solution

The fourth proportional to 8,186.40, 12,284.44 and 4,293 is: 6,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.40 : 12,284.44 = 4,293 : x
  2. Step 2: Convert to fraction form
    8,186.40/12,284.44 = 4,293/x
  3. Step 3: Cross multiply
    8,186.40x = 12,284.44 × 4,293
  4. Step 4: Simplify right side
    8,186.40x = 52,737,100.92
  5. Step 5: Solve for x
    x = 52,737,100.92/8,186.40
  6. Step 6: Final answer
    x = 6,442.04

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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.