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Finding the Fourth Proportional to 11,073, 16,609.56 and 2,865

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Solution

The fourth proportional to 11,073, 16,609.56 and 2,865 is: 4,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,073 : 16,609.56 = 2,865 : x
  2. Step 2: Convert to fraction form
    11,073/16,609.56 = 2,865/x
  3. Step 3: Cross multiply
    11,073x = 16,609.56 × 2,865
  4. Step 4: Simplify right side
    11,073x = 47,586,389.40
  5. Step 5: Solve for x
    x = 47,586,389.40/11,073
  6. Step 6: Final answer
    x = 4,297.52

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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.