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Finding the Fourth Proportional to 8,223.78, 11,348.84 and 4,686.90

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Solution

The fourth proportional to 8,223.78, 11,348.84 and 4,686.90 is: 6,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.78 : 11,348.84 = 4,686.90 : x
  2. Step 2: Convert to fraction form
    8,223.78/11,348.84 = 4,686.90/x
  3. Step 3: Cross multiply
    8,223.78x = 11,348.84 × 4,686.90
  4. Step 4: Simplify right side
    8,223.78x = 53,190,878.20
  5. Step 5: Solve for x
    x = 53,190,878.20/8,223.78
  6. Step 6: Final answer
    x = 6,467.94

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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.