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Finding the Fourth Proportional to 10,711.53, 16,066.91 and 2,813.99

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Solution

The fourth proportional to 10,711.53, 16,066.91 and 2,813.99 is: 4,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.53 : 16,066.91 = 2,813.99 : x
  2. Step 2: Convert to fraction form
    10,711.53/16,066.91 = 2,813.99/x
  3. Step 3: Cross multiply
    10,711.53x = 16,066.91 × 2,813.99
  4. Step 4: Simplify right side
    10,711.53x = 45,212,050.77
  5. Step 5: Solve for x
    x = 45,212,050.77/10,711.53
  6. Step 6: Final answer
    x = 4,220.88

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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.