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Finding the Fourth Proportional to 10,857.34, 16,286.64 and 3,065.50

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Solution

The fourth proportional to 10,857.34, 16,286.64 and 3,065.50 is: 4,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.34 : 16,286.64 = 3,065.50 : x
  2. Step 2: Convert to fraction form
    10,857.34/16,286.64 = 3,065.50/x
  3. Step 3: Cross multiply
    10,857.34x = 16,286.64 × 3,065.50
  4. Step 4: Simplify right side
    10,857.34x = 49,926,694.92
  5. Step 5: Solve for x
    x = 49,926,694.92/10,857.34
  6. Step 6: Final answer
    x = 4,598.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.