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Finding the Fourth Proportional to 6,821.57, 10,232.04 and 1,891.10

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Solution

The fourth proportional to 6,821.57, 10,232.04 and 1,891.10 is: 2,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.57 : 10,232.04 = 1,891.10 : x
  2. Step 2: Convert to fraction form
    6,821.57/10,232.04 = 1,891.10/x
  3. Step 3: Cross multiply
    6,821.57x = 10,232.04 × 1,891.10
  4. Step 4: Simplify right side
    6,821.57x = 19,349,810.84
  5. Step 5: Solve for x
    x = 19,349,810.84/6,821.57
  6. Step 6: Final answer
    x = 2,836.56

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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.