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Finding the Fourth Proportional to 8,295.75, 11,448.14 and 4,569.75

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Solution

The fourth proportional to 8,295.75, 11,448.14 and 4,569.75 is: 6,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.75 : 11,448.14 = 4,569.75 : x
  2. Step 2: Convert to fraction form
    8,295.75/11,448.14 = 4,569.75/x
  3. Step 3: Cross multiply
    8,295.75x = 11,448.14 × 4,569.75
  4. Step 4: Simplify right side
    8,295.75x = 52,315,114.92
  5. Step 5: Solve for x
    x = 52,315,114.92/8,295.75
  6. Step 6: Final answer
    x = 6,306.26

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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.