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Finding the Fourth Proportional to 6,702.84, 10,054.31 and 2,022.89

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Solution

The fourth proportional to 6,702.84, 10,054.31 and 2,022.89 is: 3,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.84 : 10,054.31 = 2,022.89 : x
  2. Step 2: Convert to fraction form
    6,702.84/10,054.31 = 2,022.89/x
  3. Step 3: Cross multiply
    6,702.84x = 10,054.31 × 2,022.89
  4. Step 4: Simplify right side
    6,702.84x = 20,338,702.77
  5. Step 5: Solve for x
    x = 20,338,702.77/6,702.84
  6. Step 6: Final answer
    x = 3,034.34

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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.