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Finding the Fourth Proportional to 6,005.90, 8,283.77 and 4,012.97

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Solution

The fourth proportional to 6,005.90, 8,283.77 and 4,012.97 is: 5,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.90 : 8,283.77 = 4,012.97 : x
  2. Step 2: Convert to fraction form
    6,005.90/8,283.77 = 4,012.97/x
  3. Step 3: Cross multiply
    6,005.90x = 8,283.77 × 4,012.97
  4. Step 4: Simplify right side
    6,005.90x = 33,242,474.06
  5. Step 5: Solve for x
    x = 33,242,474.06/6,005.90
  6. Step 6: Final answer
    x = 5,534.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.