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Finding the Fourth Proportional to 11,264.13, 15,544.89 and 6,229.17

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Solution

The fourth proportional to 11,264.13, 15,544.89 and 6,229.17 is: 8,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.13 : 15,544.89 = 6,229.17 : x
  2. Step 2: Convert to fraction form
    11,264.13/15,544.89 = 6,229.17/x
  3. Step 3: Cross multiply
    11,264.13x = 15,544.89 × 6,229.17
  4. Step 4: Simplify right side
    11,264.13x = 96,831,762.44
  5. Step 5: Solve for x
    x = 96,831,762.44/11,264.13
  6. Step 6: Final answer
    x = 8,596.47

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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.