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Finding the Fourth Proportional to 7,456, 11,186.72 and 2,839

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Solution

The fourth proportional to 7,456, 11,186.72 and 2,839 is: 4,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456 : 11,186.72 = 2,839 : x
  2. Step 2: Convert to fraction form
    7,456/11,186.72 = 2,839/x
  3. Step 3: Cross multiply
    7,456x = 11,186.72 × 2,839
  4. Step 4: Simplify right side
    7,456x = 31,759,098.08
  5. Step 5: Solve for x
    x = 31,759,098.08/7,456
  6. Step 6: Final answer
    x = 4,259.54

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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.