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Finding the Fourth Proportional to 10,586.43, 14,608.94 and 5,806.31

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Solution

The fourth proportional to 10,586.43, 14,608.94 and 5,806.31 is: 8,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.43 : 14,608.94 = 5,806.31 : x
  2. Step 2: Convert to fraction form
    10,586.43/14,608.94 = 5,806.31/x
  3. Step 3: Cross multiply
    10,586.43x = 14,608.94 × 5,806.31
  4. Step 4: Simplify right side
    10,586.43x = 84,823,932.34
  5. Step 5: Solve for x
    x = 84,823,932.34/10,586.43
  6. Step 6: Final answer
    x = 8,012.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.