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Finding the Fourth Proportional to 11,144.17, 16,705 and 6,987.10

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Solution

The fourth proportional to 11,144.17, 16,705 and 6,987.10 is: 10,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.17 : 16,705 = 6,987.10 : x
  2. Step 2: Convert to fraction form
    11,144.17/16,705 = 6,987.10/x
  3. Step 3: Cross multiply
    11,144.17x = 16,705 × 6,987.10
  4. Step 4: Simplify right side
    11,144.17x = 116,719,505.50
  5. Step 5: Solve for x
    x = 116,719,505.50/11,144.17
  6. Step 6: Final answer
    x = 10,473.59

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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.