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Finding the Fourth Proportional to 6,803.48, 10,206.12 and 2,123.81

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Solution

The fourth proportional to 6,803.48, 10,206.12 and 2,123.81 is: 3,185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.48 : 10,206.12 = 2,123.81 : x
  2. Step 2: Convert to fraction form
    6,803.48/10,206.12 = 2,123.81/x
  3. Step 3: Cross multiply
    6,803.48x = 10,206.12 × 2,123.81
  4. Step 4: Simplify right side
    6,803.48x = 21,675,808.69
  5. Step 5: Solve for x
    x = 21,675,808.69/6,803.48
  6. Step 6: Final answer
    x = 3,185.99

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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.