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Finding the Fourth Proportional to 11,589.40, 17,384.10 and 4,194.10

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Solution

The fourth proportional to 11,589.40, 17,384.10 and 4,194.10 is: 6,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.40 : 17,384.10 = 4,194.10 : x
  2. Step 2: Convert to fraction form
    11,589.40/17,384.10 = 4,194.10/x
  3. Step 3: Cross multiply
    11,589.40x = 17,384.10 × 4,194.10
  4. Step 4: Simplify right side
    11,589.40x = 72,910,653.81
  5. Step 5: Solve for x
    x = 72,910,653.81/11,589.40
  6. Step 6: Final answer
    x = 6,291.15

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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.