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Finding the Fourth Proportional to 11,189.84, 15,441.98 and 6,154.38

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Solution

The fourth proportional to 11,189.84, 15,441.98 and 6,154.38 is: 8,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.84 : 15,441.98 = 6,154.38 : x
  2. Step 2: Convert to fraction form
    11,189.84/15,441.98 = 6,154.38/x
  3. Step 3: Cross multiply
    11,189.84x = 15,441.98 × 6,154.38
  4. Step 4: Simplify right side
    11,189.84x = 95,035,812.87
  5. Step 5: Solve for x
    x = 95,035,812.87/11,189.84
  6. Step 6: Final answer
    x = 8,493.04

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Why These Related Problems?

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