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Finding the Fourth Proportional to 11,715.98, 16,168.07 and 6,410.84

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Solution

The fourth proportional to 11,715.98, 16,168.07 and 6,410.84 is: 8,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.98 : 16,168.07 = 6,410.84 : x
  2. Step 2: Convert to fraction form
    11,715.98/16,168.07 = 6,410.84/x
  3. Step 3: Cross multiply
    11,715.98x = 16,168.07 × 6,410.84
  4. Step 4: Simplify right side
    11,715.98x = 103,650,829.04
  5. Step 5: Solve for x
    x = 103,650,829.04/11,715.98
  6. Step 6: Final answer
    x = 8,846.96

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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.