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Finding the Fourth Proportional to 11,715.84, 16,168.25 and 6,410.66

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Solution

The fourth proportional to 11,715.84, 16,168.25 and 6,410.66 is: 8,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.84 : 16,168.25 = 6,410.66 : x
  2. Step 2: Convert to fraction form
    11,715.84/16,168.25 = 6,410.66/x
  3. Step 3: Cross multiply
    11,715.84x = 16,168.25 × 6,410.66
  4. Step 4: Simplify right side
    11,715.84x = 103,649,088.73
  5. Step 5: Solve for x
    x = 103,649,088.73/11,715.84
  6. Step 6: Final answer
    x = 8,846.92

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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.