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Finding the Fourth Proportional to 12,188.16, 16,819.38 and 6,882.93

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Solution

The fourth proportional to 12,188.16, 16,819.38 and 6,882.93 is: 9,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.16 : 16,819.38 = 6,882.93 : x
  2. Step 2: Convert to fraction form
    12,188.16/16,819.38 = 6,882.93/x
  3. Step 3: Cross multiply
    12,188.16x = 16,819.38 × 6,882.93
  4. Step 4: Simplify right side
    12,188.16x = 115,766,615.18
  5. Step 5: Solve for x
    x = 115,766,615.18/12,188.16
  6. Step 6: Final answer
    x = 9,498.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.