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Finding the Fourth Proportional to 10,905.57, 15,049.67 and 6,189.89

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Solution

The fourth proportional to 10,905.57, 15,049.67 and 6,189.89 is: 8,542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.57 : 15,049.67 = 6,189.89 : x
  2. Step 2: Convert to fraction form
    10,905.57/15,049.67 = 6,189.89/x
  3. Step 3: Cross multiply
    10,905.57x = 15,049.67 × 6,189.89
  4. Step 4: Simplify right side
    10,905.57x = 93,155,695.64
  5. Step 5: Solve for x
    x = 93,155,695.64/10,905.57
  6. Step 6: Final answer
    x = 8,542.03

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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.