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Finding the Fourth Proportional to 11,690.83, 16,133.39 and 6,385.63

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Solution

The fourth proportional to 11,690.83, 16,133.39 and 6,385.63 is: 8,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.83 : 16,133.39 = 6,385.63 : x
  2. Step 2: Convert to fraction form
    11,690.83/16,133.39 = 6,385.63/x
  3. Step 3: Cross multiply
    11,690.83x = 16,133.39 × 6,385.63
  4. Step 4: Simplify right side
    11,690.83x = 103,021,859.19
  5. Step 5: Solve for x
    x = 103,021,859.19/11,690.83
  6. Step 6: Final answer
    x = 8,812.19

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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.