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Finding the Fourth Proportional to 6,280.65, 8,663.67 and 5,212.31

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Solution

The fourth proportional to 6,280.65, 8,663.67 and 5,212.31 is: 7,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.65 : 8,663.67 = 5,212.31 : x
  2. Step 2: Convert to fraction form
    6,280.65/8,663.67 = 5,212.31/x
  3. Step 3: Cross multiply
    6,280.65x = 8,663.67 × 5,212.31
  4. Step 4: Simplify right side
    6,280.65x = 45,157,690.46
  5. Step 5: Solve for x
    x = 45,157,690.46/6,280.65
  6. Step 6: Final answer
    x = 7,189.97

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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.