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Finding the Fourth Proportional to 10,205.17, 14,083.09 and 5,728.95

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Solution

The fourth proportional to 10,205.17, 14,083.09 and 5,728.95 is: 7,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.17 : 14,083.09 = 5,728.95 : x
  2. Step 2: Convert to fraction form
    10,205.17/14,083.09 = 5,728.95/x
  3. Step 3: Cross multiply
    10,205.17x = 14,083.09 × 5,728.95
  4. Step 4: Simplify right side
    10,205.17x = 80,681,304.13
  5. Step 5: Solve for x
    x = 80,681,304.13/10,205.17
  6. Step 6: Final answer
    x = 7,905.93

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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.