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Finding the Fourth Proportional to 10,205.87, 14,083.13 and 5,728.59

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Solution

The fourth proportional to 10,205.87, 14,083.13 and 5,728.59 is: 7,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.87 : 14,083.13 = 5,728.59 : x
  2. Step 2: Convert to fraction form
    10,205.87/14,083.13 = 5,728.59/x
  3. Step 3: Cross multiply
    10,205.87x = 14,083.13 × 5,728.59
  4. Step 4: Simplify right side
    10,205.87x = 80,676,501.86
  5. Step 5: Solve for x
    x = 80,676,501.86/10,205.87
  6. Step 6: Final answer
    x = 7,904.91

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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.