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Finding the Fourth Proportional to 10,673.76, 14,728.67 and 6,196.64

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Solution

The fourth proportional to 10,673.76, 14,728.67 and 6,196.64 is: 8,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.76 : 14,728.67 = 6,196.64 : x
  2. Step 2: Convert to fraction form
    10,673.76/14,728.67 = 6,196.64/x
  3. Step 3: Cross multiply
    10,673.76x = 14,728.67 × 6,196.64
  4. Step 4: Simplify right side
    10,673.76x = 91,268,317.98
  5. Step 5: Solve for x
    x = 91,268,317.98/10,673.76
  6. Step 6: Final answer
    x = 8,550.72

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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.