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Finding the Fourth Proportional to 11,447.23, 15,796.74 and 6,411.20

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Solution

The fourth proportional to 11,447.23, 15,796.74 and 6,411.20 is: 8,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.23 : 15,796.74 = 6,411.20 : x
  2. Step 2: Convert to fraction form
    11,447.23/15,796.74 = 6,411.20/x
  3. Step 3: Cross multiply
    11,447.23x = 15,796.74 × 6,411.20
  4. Step 4: Simplify right side
    11,447.23x = 101,276,059.49
  5. Step 5: Solve for x
    x = 101,276,059.49/11,447.23
  6. Step 6: Final answer
    x = 8,847.21

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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.