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Finding the Fourth Proportional to 10,205.43, 14,083.86 and 5,959.20

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Solution

The fourth proportional to 10,205.43, 14,083.86 and 5,959.20 is: 8,223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.43 : 14,083.86 = 5,959.20 : x
  2. Step 2: Convert to fraction form
    10,205.43/14,083.86 = 5,959.20/x
  3. Step 3: Cross multiply
    10,205.43x = 14,083.86 × 5,959.20
  4. Step 4: Simplify right side
    10,205.43x = 83,928,580.15
  5. Step 5: Solve for x
    x = 83,928,580.15/10,205.43
  6. Step 6: Final answer
    x = 8,223.92

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