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Finding the Fourth Proportional to 8,296.86, 11,450.25 and 4,760.13

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Solution

The fourth proportional to 8,296.86, 11,450.25 and 4,760.13 is: 6,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.86 : 11,450.25 = 4,760.13 : x
  2. Step 2: Convert to fraction form
    8,296.86/11,450.25 = 4,760.13/x
  3. Step 3: Cross multiply
    8,296.86x = 11,450.25 × 4,760.13
  4. Step 4: Simplify right side
    8,296.86x = 54,504,678.53
  5. Step 5: Solve for x
    x = 54,504,678.53/8,296.86
  6. Step 6: Final answer
    x = 6,569.31

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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.