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Finding the Fourth Proportional to 11,054.34, 16,586.46 and 5,859

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Solution

The fourth proportional to 11,054.34, 16,586.46 and 5,859 is: 8,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.34 : 16,586.46 = 5,859 : x
  2. Step 2: Convert to fraction form
    11,054.34/16,586.46 = 5,859/x
  3. Step 3: Cross multiply
    11,054.34x = 16,586.46 × 5,859
  4. Step 4: Simplify right side
    11,054.34x = 97,180,069.14
  5. Step 5: Solve for x
    x = 97,180,069.14/11,054.34
  6. Step 6: Final answer
    x = 8,791.12

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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.