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Finding the Fourth Proportional to 12,464, 17,195.62 and 7,987.16

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Solution

The fourth proportional to 12,464, 17,195.62 and 7,987.16 is: 11,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464 : 17,195.62 = 7,987.16 : x
  2. Step 2: Convert to fraction form
    12,464/17,195.62 = 7,987.16/x
  3. Step 3: Cross multiply
    12,464x = 17,195.62 × 7,987.16
  4. Step 4: Simplify right side
    12,464x = 137,344,168.24
  5. Step 5: Solve for x
    x = 137,344,168.24/12,464
  6. Step 6: Final answer
    x = 11,019.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.