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Finding the Fourth Proportional to 11,447.10, 17,155.62 and 8,295.12

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Solution

The fourth proportional to 11,447.10, 17,155.62 and 8,295.12 is: 12,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.10 : 17,155.62 = 8,295.12 : x
  2. Step 2: Convert to fraction form
    11,447.10/17,155.62 = 8,295.12/x
  3. Step 3: Cross multiply
    11,447.10x = 17,155.62 × 8,295.12
  4. Step 4: Simplify right side
    11,447.10x = 142,307,926.57
  5. Step 5: Solve for x
    x = 142,307,926.57/11,447.10
  6. Step 6: Final answer
    x = 12,431.79

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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.