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Finding the Fourth Proportional to 11,057.57, 16,586.35 and 2,849.57

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Solution

The fourth proportional to 11,057.57, 16,586.35 and 2,849.57 is: 4,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.57 : 16,586.35 = 2,849.57 : x
  2. Step 2: Convert to fraction form
    11,057.57/16,586.35 = 2,849.57/x
  3. Step 3: Cross multiply
    11,057.57x = 16,586.35 × 2,849.57
  4. Step 4: Simplify right side
    11,057.57x = 47,263,868.19
  5. Step 5: Solve for x
    x = 47,263,868.19/11,057.57
  6. Step 6: Final answer
    x = 4,274.35

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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.