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Finding the Fourth Proportional to 8,270.02, 11,409.33 and 4,731.31

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Solution

The fourth proportional to 8,270.02, 11,409.33 and 4,731.31 is: 6,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.02 : 11,409.33 = 4,731.31 : x
  2. Step 2: Convert to fraction form
    8,270.02/11,409.33 = 4,731.31/x
  3. Step 3: Cross multiply
    8,270.02x = 11,409.33 × 4,731.31
  4. Step 4: Simplify right side
    8,270.02x = 53,981,077.12
  5. Step 5: Solve for x
    x = 53,981,077.12/8,270.02
  6. Step 6: Final answer
    x = 6,527.32

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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.