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Finding the Fourth Proportional to 11,695.28, 17,516.46 and 8,200.80

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Solution

The fourth proportional to 11,695.28, 17,516.46 and 8,200.80 is: 12,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.28 : 17,516.46 = 8,200.80 : x
  2. Step 2: Convert to fraction form
    11,695.28/17,516.46 = 8,200.80/x
  3. Step 3: Cross multiply
    11,695.28x = 17,516.46 × 8,200.80
  4. Step 4: Simplify right side
    11,695.28x = 143,648,985.17
  5. Step 5: Solve for x
    x = 143,648,985.17/11,695.28
  6. Step 6: Final answer
    x = 12,282.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.