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Finding the Fourth Proportional to 11,585.84, 17,375.34 and 5,010.44

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Solution

The fourth proportional to 11,585.84, 17,375.34 and 5,010.44 is: 7,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.84 : 17,375.34 = 5,010.44 : x
  2. Step 2: Convert to fraction form
    11,585.84/17,375.34 = 5,010.44/x
  3. Step 3: Cross multiply
    11,585.84x = 17,375.34 × 5,010.44
  4. Step 4: Simplify right side
    11,585.84x = 87,058,098.55
  5. Step 5: Solve for x
    x = 87,058,098.55/11,585.84
  6. Step 6: Final answer
    x = 7,514.18

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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.