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Finding the Fourth Proportional to 10,885.64, 16,318.14 and 4,315.88

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Solution

The fourth proportional to 10,885.64, 16,318.14 and 4,315.88 is: 6,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.64 : 16,318.14 = 4,315.88 : x
  2. Step 2: Convert to fraction form
    10,885.64/16,318.14 = 4,315.88/x
  3. Step 3: Cross multiply
    10,885.64x = 16,318.14 × 4,315.88
  4. Step 4: Simplify right side
    10,885.64x = 70,427,134.06
  5. Step 5: Solve for x
    x = 70,427,134.06/10,885.64
  6. Step 6: Final answer
    x = 6,469.73

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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.