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Finding the Fourth Proportional to 10,614.84, 15,922.23 and 2,823.65

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Solution

The fourth proportional to 10,614.84, 15,922.23 and 2,823.65 is: 4,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.84 : 15,922.23 = 2,823.65 : x
  2. Step 2: Convert to fraction form
    10,614.84/15,922.23 = 2,823.65/x
  3. Step 3: Cross multiply
    10,614.84x = 15,922.23 × 2,823.65
  4. Step 4: Simplify right side
    10,614.84x = 44,958,790.13
  5. Step 5: Solve for x
    x = 44,958,790.13/10,614.84
  6. Step 6: Final answer
    x = 4,235.47

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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.