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Finding the Fourth Proportional to 6,908.50, 10,362.47 and 1,977.94

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Solution

The fourth proportional to 6,908.50, 10,362.47 and 1,977.94 is: 2,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.50 : 10,362.47 = 1,977.94 : x
  2. Step 2: Convert to fraction form
    6,908.50/10,362.47 = 1,977.94/x
  3. Step 3: Cross multiply
    6,908.50x = 10,362.47 × 1,977.94
  4. Step 4: Simplify right side
    6,908.50x = 20,496,343.91
  5. Step 5: Solve for x
    x = 20,496,343.91/6,908.50
  6. Step 6: Final answer
    x = 2,966.83

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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.