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Finding the Fourth Proportional to 11,715.88, 16,168.32 and 6,680.86

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Solution

The fourth proportional to 11,715.88, 16,168.32 and 6,680.86 is: 9,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.88 : 16,168.32 = 6,680.86 : x
  2. Step 2: Convert to fraction form
    11,715.88/16,168.32 = 6,680.86/x
  3. Step 3: Cross multiply
    11,715.88x = 16,168.32 × 6,680.86
  4. Step 4: Simplify right side
    11,715.88x = 108,018,282.36
  5. Step 5: Solve for x
    x = 108,018,282.36/11,715.88
  6. Step 6: Final answer
    x = 9,219.82

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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.