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Finding the Fourth Proportional to 8,362.48, 11,538.33 and 5,674.07

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Solution

The fourth proportional to 8,362.48, 11,538.33 and 5,674.07 is: 7,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.48 : 11,538.33 = 5,674.07 : x
  2. Step 2: Convert to fraction form
    8,362.48/11,538.33 = 5,674.07/x
  3. Step 3: Cross multiply
    8,362.48x = 11,538.33 × 5,674.07
  4. Step 4: Simplify right side
    8,362.48x = 65,469,292.10
  5. Step 5: Solve for x
    x = 65,469,292.10/8,362.48
  6. Step 6: Final answer
    x = 7,828.93

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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.