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Finding the Fourth Proportional to 10,049.64, 13,873.07 and 6,466.30

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Solution

The fourth proportional to 10,049.64, 13,873.07 and 6,466.30 is: 8,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.64 : 13,873.07 = 6,466.30 : x
  2. Step 2: Convert to fraction form
    10,049.64/13,873.07 = 6,466.30/x
  3. Step 3: Cross multiply
    10,049.64x = 13,873.07 × 6,466.30
  4. Step 4: Simplify right side
    10,049.64x = 89,707,414.02
  5. Step 5: Solve for x
    x = 89,707,414.02/10,049.64
  6. Step 6: Final answer
    x = 8,926.43

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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.