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Finding the Fourth Proportional to 6,896.75, 10,332.11 and 4,077.17

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Solution

The fourth proportional to 6,896.75, 10,332.11 and 4,077.17 is: 6,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.75 : 10,332.11 = 4,077.17 : x
  2. Step 2: Convert to fraction form
    6,896.75/10,332.11 = 4,077.17/x
  3. Step 3: Cross multiply
    6,896.75x = 10,332.11 × 4,077.17
  4. Step 4: Simplify right side
    6,896.75x = 42,125,727.46
  5. Step 5: Solve for x
    x = 42,125,727.46/6,896.75
  6. Step 6: Final answer
    x = 6,108.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.