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Finding the Fourth Proportional to 11,617, 17,433.18 and 5,461.48

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Solution

The fourth proportional to 11,617, 17,433.18 and 5,461.48 is: 8,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617 : 17,433.18 = 5,461.48 : x
  2. Step 2: Convert to fraction form
    11,617/17,433.18 = 5,461.48/x
  3. Step 3: Cross multiply
    11,617x = 17,433.18 × 5,461.48
  4. Step 4: Simplify right side
    11,617x = 95,210,963.91
  5. Step 5: Solve for x
    x = 95,210,963.91/11,617
  6. Step 6: Final answer
    x = 8,195.83

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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.