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Finding the Fourth Proportional to 10,119.39, 13,959.45 and 8,233.08

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Solution

The fourth proportional to 10,119.39, 13,959.45 and 8,233.08 is: 11,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.39 : 13,959.45 = 8,233.08 : x
  2. Step 2: Convert to fraction form
    10,119.39/13,959.45 = 8,233.08/x
  3. Step 3: Cross multiply
    10,119.39x = 13,959.45 × 8,233.08
  4. Step 4: Simplify right side
    10,119.39x = 114,929,268.61
  5. Step 5: Solve for x
    x = 114,929,268.61/10,119.39
  6. Step 6: Final answer
    x = 11,357.33

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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.