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Finding the Fourth Proportional to 11,189.71, 15,441.80 and 6,154.27

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Solution

The fourth proportional to 11,189.71, 15,441.80 and 6,154.27 is: 8,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.71 : 15,441.80 = 6,154.27 : x
  2. Step 2: Convert to fraction form
    11,189.71/15,441.80 = 6,154.27/x
  3. Step 3: Cross multiply
    11,189.71x = 15,441.80 × 6,154.27
  4. Step 4: Simplify right side
    11,189.71x = 95,032,997.79
  5. Step 5: Solve for x
    x = 95,032,997.79/11,189.71
  6. Step 6: Final answer
    x = 8,492.89

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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.