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Finding the Fourth Proportional to 11,411.40, 17,119.73 and 4,837.84

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Solution

The fourth proportional to 11,411.40, 17,119.73 and 4,837.84 is: 7,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.40 : 17,119.73 = 4,837.84 : x
  2. Step 2: Convert to fraction form
    11,411.40/17,119.73 = 4,837.84/x
  3. Step 3: Cross multiply
    11,411.40x = 17,119.73 × 4,837.84
  4. Step 4: Simplify right side
    11,411.40x = 82,822,514.58
  5. Step 5: Solve for x
    x = 82,822,514.58/11,411.40
  6. Step 6: Final answer
    x = 7,257.87

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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.