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Finding the Fourth Proportional to 10,706.79, 16,036.42 and 8,223.33

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Solution

The fourth proportional to 10,706.79, 16,036.42 and 8,223.33 is: 12,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.79 : 16,036.42 = 8,223.33 : x
  2. Step 2: Convert to fraction form
    10,706.79/16,036.42 = 8,223.33/x
  3. Step 3: Cross multiply
    10,706.79x = 16,036.42 × 8,223.33
  4. Step 4: Simplify right side
    10,706.79x = 131,872,773.68
  5. Step 5: Solve for x
    x = 131,872,773.68/10,706.79
  6. Step 6: Final answer
    x = 12,316.74

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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.