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Finding the Fourth Proportional to 8,135.76, 11,199.36 and 6,143.16

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Solution

The fourth proportional to 8,135.76, 11,199.36 and 6,143.16 is: 8,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.76 : 11,199.36 = 6,143.16 : x
  2. Step 2: Convert to fraction form
    8,135.76/11,199.36 = 6,143.16/x
  3. Step 3: Cross multiply
    8,135.76x = 11,199.36 × 6,143.16
  4. Step 4: Simplify right side
    8,135.76x = 68,799,460.38
  5. Step 5: Solve for x
    x = 68,799,460.38/8,135.76
  6. Step 6: Final answer
    x = 8,456.43

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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.