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Finding the Fourth Proportional to 11,209.89, 15,470.46 and 8,023.49

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Solution

The fourth proportional to 11,209.89, 15,470.46 and 8,023.49 is: 11,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.89 : 15,470.46 = 8,023.49 : x
  2. Step 2: Convert to fraction form
    11,209.89/15,470.46 = 8,023.49/x
  3. Step 3: Cross multiply
    11,209.89x = 15,470.46 × 8,023.49
  4. Step 4: Simplify right side
    11,209.89x = 124,127,003.75
  5. Step 5: Solve for x
    x = 124,127,003.75/11,209.89
  6. Step 6: Final answer
    x = 11,072.99

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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.