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Finding the Fourth Proportional to 11,173.14, 15,415.92 and 7,192.80

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Solution

The fourth proportional to 11,173.14, 15,415.92 and 7,192.80 is: 9,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.14 : 15,415.92 = 7,192.80 : x
  2. Step 2: Convert to fraction form
    11,173.14/15,415.92 = 7,192.80/x
  3. Step 3: Cross multiply
    11,173.14x = 15,415.92 × 7,192.80
  4. Step 4: Simplify right side
    11,173.14x = 110,883,629.38
  5. Step 5: Solve for x
    x = 110,883,629.38/11,173.14
  6. Step 6: Final answer
    x = 9,924.12

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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.