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Finding the Fourth Proportional to 10,857.33, 16,288.74 and 3,066.14

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Solution

The fourth proportional to 10,857.33, 16,288.74 and 3,066.14 is: 4,599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.33 : 16,288.74 = 3,066.14 : x
  2. Step 2: Convert to fraction form
    10,857.33/16,288.74 = 3,066.14/x
  3. Step 3: Cross multiply
    10,857.33x = 16,288.74 × 3,066.14
  4. Step 4: Simplify right side
    10,857.33x = 49,943,586.49
  5. Step 5: Solve for x
    x = 49,943,586.49/10,857.33
  6. Step 6: Final answer
    x = 4,599.99

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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.