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Finding the Fourth Proportional to 6,020.72, 8,304 and 5,182.80

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Solution

The fourth proportional to 6,020.72, 8,304 and 5,182.80 is: 7,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020.72 : 8,304 = 5,182.80 : x
  2. Step 2: Convert to fraction form
    6,020.72/8,304 = 5,182.80/x
  3. Step 3: Cross multiply
    6,020.72x = 8,304 × 5,182.80
  4. Step 4: Simplify right side
    6,020.72x = 43,037,971.20
  5. Step 5: Solve for x
    x = 43,037,971.20/6,020.72
  6. Step 6: Final answer
    x = 7,148.31

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Why These Related Problems?

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