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Finding the Fourth Proportional to 6,702.89, 10,051.09 and 2,022.03

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Solution

The fourth proportional to 6,702.89, 10,051.09 and 2,022.03 is: 3,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.89 : 10,051.09 = 2,022.03 : x
  2. Step 2: Convert to fraction form
    6,702.89/10,051.09 = 2,022.03/x
  3. Step 3: Cross multiply
    6,702.89x = 10,051.09 × 2,022.03
  4. Step 4: Simplify right side
    6,702.89x = 20,323,605.51
  5. Step 5: Solve for x
    x = 20,323,605.51/6,702.89
  6. Step 6: Final answer
    x = 3,032.07

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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.