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Finding the Fourth Proportional to 8,710.23, 11,992.80 and 7,687.14

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Solution

The fourth proportional to 8,710.23, 11,992.80 and 7,687.14 is: 10,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,710.23 : 11,992.80 = 7,687.14 : x
  2. Step 2: Convert to fraction form
    8,710.23/11,992.80 = 7,687.14/x
  3. Step 3: Cross multiply
    8,710.23x = 11,992.80 × 7,687.14
  4. Step 4: Simplify right side
    8,710.23x = 92,190,332.59
  5. Step 5: Solve for x
    x = 92,190,332.59/8,710.23
  6. Step 6: Final answer
    x = 10,584.14

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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.