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Finding the Fourth Proportional to 8,292.41, 11,431.44 and 6,299.51

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Solution

The fourth proportional to 8,292.41, 11,431.44 and 6,299.51 is: 8,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.41 : 11,431.44 = 6,299.51 : x
  2. Step 2: Convert to fraction form
    8,292.41/11,431.44 = 6,299.51/x
  3. Step 3: Cross multiply
    8,292.41x = 11,431.44 × 6,299.51
  4. Step 4: Simplify right side
    8,292.41x = 72,012,456.31
  5. Step 5: Solve for x
    x = 72,012,456.31/8,292.41
  6. Step 6: Final answer
    x = 8,684.14

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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.