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Finding the Fourth Proportional to 11,646, 17,442.27 and 7,429.14

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Solution

The fourth proportional to 11,646, 17,442.27 and 7,429.14 is: 11,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646 : 17,442.27 = 7,429.14 : x
  2. Step 2: Convert to fraction form
    11,646/17,442.27 = 7,429.14/x
  3. Step 3: Cross multiply
    11,646x = 17,442.27 × 7,429.14
  4. Step 4: Simplify right side
    11,646x = 129,581,065.75
  5. Step 5: Solve for x
    x = 129,581,065.75/11,646
  6. Step 6: Final answer
    x = 11,126.66

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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.