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Finding the Fourth Proportional to 10,709.79, 16,064.28 and 2,812.23

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Solution

The fourth proportional to 10,709.79, 16,064.28 and 2,812.23 is: 4,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.79 : 16,064.28 = 2,812.23 : x
  2. Step 2: Convert to fraction form
    10,709.79/16,064.28 = 2,812.23/x
  3. Step 3: Cross multiply
    10,709.79x = 16,064.28 × 2,812.23
  4. Step 4: Simplify right side
    10,709.79x = 45,176,450.14
  5. Step 5: Solve for x
    x = 45,176,450.14/10,709.79
  6. Step 6: Final answer
    x = 4,218.24

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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.