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Finding the Fourth Proportional to 11,447.16, 15,797.42 and 6,411.36

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Solution

The fourth proportional to 11,447.16, 15,797.42 and 6,411.36 is: 8,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.16 : 15,797.42 = 6,411.36 : x
  2. Step 2: Convert to fraction form
    11,447.16/15,797.42 = 6,411.36/x
  3. Step 3: Cross multiply
    11,447.16x = 15,797.42 × 6,411.36
  4. Step 4: Simplify right side
    11,447.16x = 101,282,946.69
  5. Step 5: Solve for x
    x = 101,282,946.69/11,447.16
  6. Step 6: Final answer
    x = 8,847.87

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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.