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Finding the Fourth Proportional to 8,331.76, 11,478.31 and 5,809.29

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Solution

The fourth proportional to 8,331.76, 11,478.31 and 5,809.29 is: 8,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.76 : 11,478.31 = 5,809.29 : x
  2. Step 2: Convert to fraction form
    8,331.76/11,478.31 = 5,809.29/x
  3. Step 3: Cross multiply
    8,331.76x = 11,478.31 × 5,809.29
  4. Step 4: Simplify right side
    8,331.76x = 66,680,831.50
  5. Step 5: Solve for x
    x = 66,680,831.50/8,331.76
  6. Step 6: Final answer
    x = 8,003.21

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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.