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Finding the Fourth Proportional to 10,202.95, 14,079.81 and 5,727.79

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Solution

The fourth proportional to 10,202.95, 14,079.81 and 5,727.79 is: 7,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.95 : 14,079.81 = 5,727.79 : x
  2. Step 2: Convert to fraction form
    10,202.95/14,079.81 = 5,727.79/x
  3. Step 3: Cross multiply
    10,202.95x = 14,079.81 × 5,727.79
  4. Step 4: Simplify right side
    10,202.95x = 80,646,194.92
  5. Step 5: Solve for x
    x = 80,646,194.92/10,202.95
  6. Step 6: Final answer
    x = 7,904.20

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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.