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Finding the Fourth Proportional to 11,465.34, 17,196.17 and 3,143.42

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Solution

The fourth proportional to 11,465.34, 17,196.17 and 3,143.42 is: 4,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.34 : 17,196.17 = 3,143.42 : x
  2. Step 2: Convert to fraction form
    11,465.34/17,196.17 = 3,143.42/x
  3. Step 3: Cross multiply
    11,465.34x = 17,196.17 × 3,143.42
  4. Step 4: Simplify right side
    11,465.34x = 54,054,844.22
  5. Step 5: Solve for x
    x = 54,054,844.22/11,465.34
  6. Step 6: Final answer
    x = 4,714.63

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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.