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Finding the Fourth Proportional to 8,483.25, 11,706.89 and 4,945.78

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Solution

The fourth proportional to 8,483.25, 11,706.89 and 4,945.78 is: 6,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.25 : 11,706.89 = 4,945.78 : x
  2. Step 2: Convert to fraction form
    8,483.25/11,706.89 = 4,945.78/x
  3. Step 3: Cross multiply
    8,483.25x = 11,706.89 × 4,945.78
  4. Step 4: Simplify right side
    8,483.25x = 57,899,648.43
  5. Step 5: Solve for x
    x = 57,899,648.43/8,483.25
  6. Step 6: Final answer
    x = 6,825.17

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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.