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Finding the Fourth Proportional to 11,817.78, 17,717.86 and 5,153

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Solution

The fourth proportional to 11,817.78, 17,717.86 and 5,153 is: 7,725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.78 : 17,717.86 = 5,153 : x
  2. Step 2: Convert to fraction form
    11,817.78/17,717.86 = 5,153/x
  3. Step 3: Cross multiply
    11,817.78x = 17,717.86 × 5,153
  4. Step 4: Simplify right side
    11,817.78x = 91,300,132.58
  5. Step 5: Solve for x
    x = 91,300,132.58/11,817.78
  6. Step 6: Final answer
    x = 7,725.66

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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.