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Finding the Fourth Proportional to 7,093.73, 10,647.16 and 3,586.21

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Solution

The fourth proportional to 7,093.73, 10,647.16 and 3,586.21 is: 5,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.73 : 10,647.16 = 3,586.21 : x
  2. Step 2: Convert to fraction form
    7,093.73/10,647.16 = 3,586.21/x
  3. Step 3: Cross multiply
    7,093.73x = 10,647.16 × 3,586.21
  4. Step 4: Simplify right side
    7,093.73x = 38,182,916.08
  5. Step 5: Solve for x
    x = 38,182,916.08/7,093.73
  6. Step 6: Final answer
    x = 5,382.63

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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.