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Finding the Fourth Proportional to 8,172.95, 11,243.27 and 7,160.09

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Solution

The fourth proportional to 8,172.95, 11,243.27 and 7,160.09 is: 9,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.95 : 11,243.27 = 7,160.09 : x
  2. Step 2: Convert to fraction form
    8,172.95/11,243.27 = 7,160.09/x
  3. Step 3: Cross multiply
    8,172.95x = 11,243.27 × 7,160.09
  4. Step 4: Simplify right side
    8,172.95x = 80,502,865.83
  5. Step 5: Solve for x
    x = 80,502,865.83/8,172.95
  6. Step 6: Final answer
    x = 9,849.92

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