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Finding the Fourth Proportional to 11,690.91, 16,133.22 and 6,385.77

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Solution

The fourth proportional to 11,690.91, 16,133.22 and 6,385.77 is: 8,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.91 : 16,133.22 = 6,385.77 : x
  2. Step 2: Convert to fraction form
    11,690.91/16,133.22 = 6,385.77/x
  3. Step 3: Cross multiply
    11,690.91x = 16,133.22 × 6,385.77
  4. Step 4: Simplify right side
    11,690.91x = 103,023,032.28
  5. Step 5: Solve for x
    x = 103,023,032.28/11,690.91
  6. Step 6: Final answer
    x = 8,812.23

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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.