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Finding the Fourth Proportional to 8,136.78, 12,204.55 and 2,590.30

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Solution

The fourth proportional to 8,136.78, 12,204.55 and 2,590.30 is: 3,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.78 : 12,204.55 = 2,590.30 : x
  2. Step 2: Convert to fraction form
    8,136.78/12,204.55 = 2,590.30/x
  3. Step 3: Cross multiply
    8,136.78x = 12,204.55 × 2,590.30
  4. Step 4: Simplify right side
    8,136.78x = 31,613,445.87
  5. Step 5: Solve for x
    x = 31,613,445.87/8,136.78
  6. Step 6: Final answer
    x = 3,885.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.