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Finding the Fourth Proportional to 10,867.46, 16,304.10 and 4,627.76

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Solution

The fourth proportional to 10,867.46, 16,304.10 and 4,627.76 is: 6,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.46 : 16,304.10 = 4,627.76 : x
  2. Step 2: Convert to fraction form
    10,867.46/16,304.10 = 4,627.76/x
  3. Step 3: Cross multiply
    10,867.46x = 16,304.10 × 4,627.76
  4. Step 4: Simplify right side
    10,867.46x = 75,451,461.82
  5. Step 5: Solve for x
    x = 75,451,461.82/10,867.46
  6. Step 6: Final answer
    x = 6,942.88

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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.