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Finding the Fourth Proportional to 10,904.96, 15,049.20 and 6,189.44

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Solution

The fourth proportional to 10,904.96, 15,049.20 and 6,189.44 is: 8,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.96 : 15,049.20 = 6,189.44 : x
  2. Step 2: Convert to fraction form
    10,904.96/15,049.20 = 6,189.44/x
  3. Step 3: Cross multiply
    10,904.96x = 15,049.20 × 6,189.44
  4. Step 4: Simplify right side
    10,904.96x = 93,146,120.45
  5. Step 5: Solve for x
    x = 93,146,120.45/10,904.96
  6. Step 6: Final answer
    x = 8,541.63

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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.