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Finding the Fourth Proportional to 8,137.78, 11,225.82 and 5,486.04

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Solution

The fourth proportional to 8,137.78, 11,225.82 and 5,486.04 is: 7,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.78 : 11,225.82 = 5,486.04 : x
  2. Step 2: Convert to fraction form
    8,137.78/11,225.82 = 5,486.04/x
  3. Step 3: Cross multiply
    8,137.78x = 11,225.82 × 5,486.04
  4. Step 4: Simplify right side
    8,137.78x = 61,585,297.55
  5. Step 5: Solve for x
    x = 61,585,297.55/8,137.78
  6. Step 6: Final answer
    x = 7,567.83

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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.