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Finding the Fourth Proportional to 6,812.84, 10,219.47 and 1,882.47

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Solution

The fourth proportional to 6,812.84, 10,219.47 and 1,882.47 is: 2,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.84 : 10,219.47 = 1,882.47 : x
  2. Step 2: Convert to fraction form
    6,812.84/10,219.47 = 1,882.47/x
  3. Step 3: Cross multiply
    6,812.84x = 10,219.47 × 1,882.47
  4. Step 4: Simplify right side
    6,812.84x = 19,237,876.95
  5. Step 5: Solve for x
    x = 19,237,876.95/6,812.84
  6. Step 6: Final answer
    x = 2,823.77

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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.