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Finding the Fourth Proportional to 11,439.66, 17,159.13 and 5,195.10

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Solution

The fourth proportional to 11,439.66, 17,159.13 and 5,195.10 is: 7,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.66 : 17,159.13 = 5,195.10 : x
  2. Step 2: Convert to fraction form
    11,439.66/17,159.13 = 5,195.10/x
  3. Step 3: Cross multiply
    11,439.66x = 17,159.13 × 5,195.10
  4. Step 4: Simplify right side
    11,439.66x = 89,143,396.26
  5. Step 5: Solve for x
    x = 89,143,396.26/11,439.66
  6. Step 6: Final answer
    x = 7,792.49

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Why These Related Problems?

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