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Finding the Fourth Proportional to 7,166.88, 9,887.31 and 5,173.02

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Solution

The fourth proportional to 7,166.88, 9,887.31 and 5,173.02 is: 7,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.88 : 9,887.31 = 5,173.02 : x
  2. Step 2: Convert to fraction form
    7,166.88/9,887.31 = 5,173.02/x
  3. Step 3: Cross multiply
    7,166.88x = 9,887.31 × 5,173.02
  4. Step 4: Simplify right side
    7,166.88x = 51,147,252.38
  5. Step 5: Solve for x
    x = 51,147,252.38/7,166.88
  6. Step 6: Final answer
    x = 7,136.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.