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Finding the Fourth Proportional to 6,803.84, 10,205.75 and 2,421.33

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Solution

The fourth proportional to 6,803.84, 10,205.75 and 2,421.33 is: 3,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.84 : 10,205.75 = 2,421.33 : x
  2. Step 2: Convert to fraction form
    6,803.84/10,205.75 = 2,421.33/x
  3. Step 3: Cross multiply
    6,803.84x = 10,205.75 × 2,421.33
  4. Step 4: Simplify right side
    6,803.84x = 24,711,476.54
  5. Step 5: Solve for x
    x = 24,711,476.54/6,803.84
  6. Step 6: Final answer
    x = 3,631.99

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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.