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Finding the Fourth Proportional to 10,596.71, 15,893.82 and 2,806.13

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Solution

The fourth proportional to 10,596.71, 15,893.82 and 2,806.13 is: 4,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.71 : 15,893.82 = 2,806.13 : x
  2. Step 2: Convert to fraction form
    10,596.71/15,893.82 = 2,806.13/x
  3. Step 3: Cross multiply
    10,596.71x = 15,893.82 × 2,806.13
  4. Step 4: Simplify right side
    10,596.71x = 44,600,045.65
  5. Step 5: Solve for x
    x = 44,600,045.65/10,596.71
  6. Step 6: Final answer
    x = 4,208.86

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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.