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Finding the Fourth Proportional to 10,029.18, 13,838.19 and 6,800.14

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Solution

The fourth proportional to 10,029.18, 13,838.19 and 6,800.14 is: 9,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.18 : 13,838.19 = 6,800.14 : x
  2. Step 2: Convert to fraction form
    10,029.18/13,838.19 = 6,800.14/x
  3. Step 3: Cross multiply
    10,029.18x = 13,838.19 × 6,800.14
  4. Step 4: Simplify right side
    10,029.18x = 94,101,629.35
  5. Step 5: Solve for x
    x = 94,101,629.35/10,029.18
  6. Step 6: Final answer
    x = 9,382.78

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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.