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Finding the Fourth Proportional to 10,683.54, 14,743.49 and 5,967.78

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Solution

The fourth proportional to 10,683.54, 14,743.49 and 5,967.78 is: 8,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.54 : 14,743.49 = 5,967.78 : x
  2. Step 2: Convert to fraction form
    10,683.54/14,743.49 = 5,967.78/x
  3. Step 3: Cross multiply
    10,683.54x = 14,743.49 × 5,967.78
  4. Step 4: Simplify right side
    10,683.54x = 87,985,904.75
  5. Step 5: Solve for x
    x = 87,985,904.75/10,683.54
  6. Step 6: Final answer
    x = 8,235.65

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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.