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Finding the Fourth Proportional to 11,331.54, 15,643.21 and 7,084.96

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Solution

The fourth proportional to 11,331.54, 15,643.21 and 7,084.96 is: 9,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.54 : 15,643.21 = 7,084.96 : x
  2. Step 2: Convert to fraction form
    11,331.54/15,643.21 = 7,084.96/x
  3. Step 3: Cross multiply
    11,331.54x = 15,643.21 × 7,084.96
  4. Step 4: Simplify right side
    11,331.54x = 110,831,517.12
  5. Step 5: Solve for x
    x = 110,831,517.12/11,331.54
  6. Step 6: Final answer
    x = 9,780.80

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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.