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Finding the Fourth Proportional to 10,049.41, 15,071.03 and 6,949.34

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Solution

The fourth proportional to 10,049.41, 15,071.03 and 6,949.34 is: 10,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.41 : 15,071.03 = 6,949.34 : x
  2. Step 2: Convert to fraction form
    10,049.41/15,071.03 = 6,949.34/x
  3. Step 3: Cross multiply
    10,049.41x = 15,071.03 × 6,949.34
  4. Step 4: Simplify right side
    10,049.41x = 104,733,711.62
  5. Step 5: Solve for x
    x = 104,733,711.62/10,049.41
  6. Step 6: Final answer
    x = 10,421.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.