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Finding the Fourth Proportional to 11,588.91, 17,389.75 and 6,323.70

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Solution

The fourth proportional to 11,588.91, 17,389.75 and 6,323.70 is: 9,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.91 : 17,389.75 = 6,323.70 : x
  2. Step 2: Convert to fraction form
    11,588.91/17,389.75 = 6,323.70/x
  3. Step 3: Cross multiply
    11,588.91x = 17,389.75 × 6,323.70
  4. Step 4: Simplify right side
    11,588.91x = 109,967,562.08
  5. Step 5: Solve for x
    x = 109,967,562.08/11,588.91
  6. Step 6: Final answer
    x = 9,489.03

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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.