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Finding the Fourth Proportional to 11,690.86, 16,133.67 and 6,385.72

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Solution

The fourth proportional to 11,690.86, 16,133.67 and 6,385.72 is: 8,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.86 : 16,133.67 = 6,385.72 : x
  2. Step 2: Convert to fraction form
    11,690.86/16,133.67 = 6,385.72/x
  3. Step 3: Cross multiply
    11,690.86x = 16,133.67 × 6,385.72
  4. Step 4: Simplify right side
    11,690.86x = 103,025,099.19
  5. Step 5: Solve for x
    x = 103,025,099.19/11,690.86
  6. Step 6: Final answer
    x = 8,812.45

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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.