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Finding the Fourth Proportional to 8,242.83, 11,375.55 and 4,706.73

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Solution

The fourth proportional to 8,242.83, 11,375.55 and 4,706.73 is: 6,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.83 : 11,375.55 = 4,706.73 : x
  2. Step 2: Convert to fraction form
    8,242.83/11,375.55 = 4,706.73/x
  3. Step 3: Cross multiply
    8,242.83x = 11,375.55 × 4,706.73
  4. Step 4: Simplify right side
    8,242.83x = 53,541,642.45
  5. Step 5: Solve for x
    x = 53,541,642.45/8,242.83
  6. Step 6: Final answer
    x = 6,495.54

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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.