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Finding the Fourth Proportional to 11,463.54, 17,196.84 and 4,536.42

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Solution

The fourth proportional to 11,463.54, 17,196.84 and 4,536.42 is: 6,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.54 : 17,196.84 = 4,536.42 : x
  2. Step 2: Convert to fraction form
    11,463.54/17,196.84 = 4,536.42/x
  3. Step 3: Cross multiply
    11,463.54x = 17,196.84 × 4,536.42
  4. Step 4: Simplify right side
    11,463.54x = 78,012,088.91
  5. Step 5: Solve for x
    x = 78,012,088.91/11,463.54
  6. Step 6: Final answer
    x = 6,805.24

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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.