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Finding the Fourth Proportional to 8,094.47, 12,136.67 and 3,412.07

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Solution

The fourth proportional to 8,094.47, 12,136.67 and 3,412.07 is: 5,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.47 : 12,136.67 = 3,412.07 : x
  2. Step 2: Convert to fraction form
    8,094.47/12,136.67 = 3,412.07/x
  3. Step 3: Cross multiply
    8,094.47x = 12,136.67 × 3,412.07
  4. Step 4: Simplify right side
    8,094.47x = 41,411,089.86
  5. Step 5: Solve for x
    x = 41,411,089.86/8,094.47
  6. Step 6: Final answer
    x = 5,115.98

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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.