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Finding the Fourth Proportional to 8,313.78, 12,456.06 and 7,409.82

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Solution

The fourth proportional to 8,313.78, 12,456.06 and 7,409.82 is: 11,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.78 : 12,456.06 = 7,409.82 : x
  2. Step 2: Convert to fraction form
    8,313.78/12,456.06 = 7,409.82/x
  3. Step 3: Cross multiply
    8,313.78x = 12,456.06 × 7,409.82
  4. Step 4: Simplify right side
    8,313.78x = 92,297,162.51
  5. Step 5: Solve for x
    x = 92,297,162.51/8,313.78
  6. Step 6: Final answer
    x = 11,101.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.