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Finding the Fourth Proportional to 10,086.90, 13,918.95 and 5,837.12

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Solution

The fourth proportional to 10,086.90, 13,918.95 and 5,837.12 is: 8,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.90 : 13,918.95 = 5,837.12 : x
  2. Step 2: Convert to fraction form
    10,086.90/13,918.95 = 5,837.12/x
  3. Step 3: Cross multiply
    10,086.90x = 13,918.95 × 5,837.12
  4. Step 4: Simplify right side
    10,086.90x = 81,246,611.38
  5. Step 5: Solve for x
    x = 81,246,611.38/10,086.90
  6. Step 6: Final answer
    x = 8,054.66

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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.