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Finding the Fourth Proportional to 6,013.44, 8,290.17 and 5,182.98

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Solution

The fourth proportional to 6,013.44, 8,290.17 and 5,182.98 is: 7,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.44 : 8,290.17 = 5,182.98 : x
  2. Step 2: Convert to fraction form
    6,013.44/8,290.17 = 5,182.98/x
  3. Step 3: Cross multiply
    6,013.44x = 8,290.17 × 5,182.98
  4. Step 4: Simplify right side
    6,013.44x = 42,967,785.31
  5. Step 5: Solve for x
    x = 42,967,785.31/6,013.44
  6. Step 6: Final answer
    x = 7,145.29

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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.