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Finding the Fourth Proportional to 11,194.36, 15,448.23 and 6,158.68

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Solution

The fourth proportional to 11,194.36, 15,448.23 and 6,158.68 is: 8,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.36 : 15,448.23 = 6,158.68 : x
  2. Step 2: Convert to fraction form
    11,194.36/15,448.23 = 6,158.68/x
  3. Step 3: Cross multiply
    11,194.36x = 15,448.23 × 6,158.68
  4. Step 4: Simplify right side
    11,194.36x = 95,140,705.14
  5. Step 5: Solve for x
    x = 95,140,705.14/11,194.36
  6. Step 6: Final answer
    x = 8,498.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.