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Finding the Fourth Proportional to 8,242.49, 11,375.21 and 4,706.23

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Solution

The fourth proportional to 8,242.49, 11,375.21 and 4,706.23 is: 6,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.49 : 11,375.21 = 4,706.23 : x
  2. Step 2: Convert to fraction form
    8,242.49/11,375.21 = 4,706.23/x
  3. Step 3: Cross multiply
    8,242.49x = 11,375.21 × 4,706.23
  4. Step 4: Simplify right side
    8,242.49x = 53,534,354.56
  5. Step 5: Solve for x
    x = 53,534,354.56/8,242.49
  6. Step 6: Final answer
    x = 6,494.93

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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.