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Finding the Fourth Proportional to 8,064.69, 12,096.36 and 3,681.81

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Solution

The fourth proportional to 8,064.69, 12,096.36 and 3,681.81 is: 5,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.69 : 12,096.36 = 3,681.81 : x
  2. Step 2: Convert to fraction form
    8,064.69/12,096.36 = 3,681.81/x
  3. Step 3: Cross multiply
    8,064.69x = 12,096.36 × 3,681.81
  4. Step 4: Simplify right side
    8,064.69x = 44,536,499.21
  5. Step 5: Solve for x
    x = 44,536,499.21/8,064.69
  6. Step 6: Final answer
    x = 5,522.41

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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.