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Finding the Fourth Proportional to 8,089.38, 12,128.99 and 3,646.13

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Solution

The fourth proportional to 8,089.38, 12,128.99 and 3,646.13 is: 5,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.38 : 12,128.99 = 3,646.13 : x
  2. Step 2: Convert to fraction form
    8,089.38/12,128.99 = 3,646.13/x
  3. Step 3: Cross multiply
    8,089.38x = 12,128.99 × 3,646.13
  4. Step 4: Simplify right side
    8,089.38x = 44,223,795.43
  5. Step 5: Solve for x
    x = 44,223,795.43/8,089.38
  6. Step 6: Final answer
    x = 5,466.90

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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.