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Finding the Fourth Proportional to 11,513.66, 17,270.86 and 3,193.76

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Solution

The fourth proportional to 11,513.66, 17,270.86 and 3,193.76 is: 4,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.66 : 17,270.86 = 3,193.76 : x
  2. Step 2: Convert to fraction form
    11,513.66/17,270.86 = 3,193.76/x
  3. Step 3: Cross multiply
    11,513.66x = 17,270.86 × 3,193.76
  4. Step 4: Simplify right side
    11,513.66x = 55,158,981.83
  5. Step 5: Solve for x
    x = 55,158,981.83/11,513.66
  6. Step 6: Final answer
    x = 4,790.74

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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.