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Finding the Fourth Proportional to 8,296.25, 11,448.83 and 4,570.25

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Solution

The fourth proportional to 8,296.25, 11,448.83 and 4,570.25 is: 6,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.25 : 11,448.83 = 4,570.25 : x
  2. Step 2: Convert to fraction form
    8,296.25/11,448.83 = 4,570.25/x
  3. Step 3: Cross multiply
    8,296.25x = 11,448.83 × 4,570.25
  4. Step 4: Simplify right side
    8,296.25x = 52,324,015.31
  5. Step 5: Solve for x
    x = 52,324,015.31/8,296.25
  6. Step 6: Final answer
    x = 6,306.95

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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.