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Finding the Fourth Proportional to 10,904.88, 15,049.18 and 6,189.60

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Solution

The fourth proportional to 10,904.88, 15,049.18 and 6,189.60 is: 8,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.88 : 15,049.18 = 6,189.60 : x
  2. Step 2: Convert to fraction form
    10,904.88/15,049.18 = 6,189.60/x
  3. Step 3: Cross multiply
    10,904.88x = 15,049.18 × 6,189.60
  4. Step 4: Simplify right side
    10,904.88x = 93,148,404.53
  5. Step 5: Solve for x
    x = 93,148,404.53/10,904.88
  6. Step 6: Final answer
    x = 8,541.90

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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.