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Finding the Fourth Proportional to 6,896.90, 10,366.95 and 6,767.30

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Solution

The fourth proportional to 6,896.90, 10,366.95 and 6,767.30 is: 10,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.90 : 10,366.95 = 6,767.30 : x
  2. Step 2: Convert to fraction form
    6,896.90/10,366.95 = 6,767.30/x
  3. Step 3: Cross multiply
    6,896.90x = 10,366.95 × 6,767.30
  4. Step 4: Simplify right side
    6,896.90x = 70,156,260.74
  5. Step 5: Solve for x
    x = 70,156,260.74/6,896.90
  6. Step 6: Final answer
    x = 10,172.14

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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.