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Finding the Fourth Proportional to 6,816.74, 10,223.42 and 1,886.13

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Solution

The fourth proportional to 6,816.74, 10,223.42 and 1,886.13 is: 2,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.74 : 10,223.42 = 1,886.13 : x
  2. Step 2: Convert to fraction form
    6,816.74/10,223.42 = 1,886.13/x
  3. Step 3: Cross multiply
    6,816.74x = 10,223.42 × 1,886.13
  4. Step 4: Simplify right side
    6,816.74x = 19,282,689.73
  5. Step 5: Solve for x
    x = 19,282,689.73/6,816.74
  6. Step 6: Final answer
    x = 2,828.73

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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.