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Finding the Fourth Proportional to 11,189.70, 15,441.63 and 6,154.14

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Solution

The fourth proportional to 11,189.70, 15,441.63 and 6,154.14 is: 8,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.70 : 15,441.63 = 6,154.14 : x
  2. Step 2: Convert to fraction form
    11,189.70/15,441.63 = 6,154.14/x
  3. Step 3: Cross multiply
    11,189.70x = 15,441.63 × 6,154.14
  4. Step 4: Simplify right side
    11,189.70x = 95,029,952.85
  5. Step 5: Solve for x
    x = 95,029,952.85/11,189.70
  6. Step 6: Final answer
    x = 8,492.63

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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.