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Finding the Fourth Proportional to 8,295.70, 11,448.15 and 4,759.24

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Solution

The fourth proportional to 8,295.70, 11,448.15 and 4,759.24 is: 6,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.70 : 11,448.15 = 4,759.24 : x
  2. Step 2: Convert to fraction form
    8,295.70/11,448.15 = 4,759.24/x
  3. Step 3: Cross multiply
    8,295.70x = 11,448.15 × 4,759.24
  4. Step 4: Simplify right side
    8,295.70x = 54,484,436.17
  5. Step 5: Solve for x
    x = 54,484,436.17/8,295.70
  6. Step 6: Final answer
    x = 6,567.80

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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.