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Finding the Fourth Proportional to 6,702.19, 10,053.78 and 2,021.83

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Solution

The fourth proportional to 6,702.19, 10,053.78 and 2,021.83 is: 3,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.19 : 10,053.78 = 2,021.83 : x
  2. Step 2: Convert to fraction form
    6,702.19/10,053.78 = 2,021.83/x
  3. Step 3: Cross multiply
    6,702.19x = 10,053.78 × 2,021.83
  4. Step 4: Simplify right side
    6,702.19x = 20,327,034.02
  5. Step 5: Solve for x
    x = 20,327,034.02/6,702.19
  6. Step 6: Final answer
    x = 3,032.89

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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.