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Finding the Fourth Proportional to 11,585.00, 17,377.47 and 4,189.43

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Solution

The fourth proportional to 11,585.00, 17,377.47 and 4,189.43 is: 6,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.00 : 17,377.47 = 4,189.43 : x
  2. Step 2: Convert to fraction form
    11,585.00/17,377.47 = 4,189.43/x
  3. Step 3: Cross multiply
    11,585.00x = 17,377.47 × 4,189.43
  4. Step 4: Simplify right side
    11,585.00x = 72,801,737.59
  5. Step 5: Solve for x
    x = 72,801,737.59/11,585.00
  6. Step 6: Final answer
    x = 6,284.14

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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.