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Finding the Fourth Proportional to 11,664.27, 16,086.06 and 7,683.93

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Solution

The fourth proportional to 11,664.27, 16,086.06 and 7,683.93 is: 10,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.27 : 16,086.06 = 7,683.93 : x
  2. Step 2: Convert to fraction form
    11,664.27/16,086.06 = 7,683.93/x
  3. Step 3: Cross multiply
    11,664.27x = 16,086.06 × 7,683.93
  4. Step 4: Simplify right side
    11,664.27x = 123,604,159.02
  5. Step 5: Solve for x
    x = 123,604,159.02/11,664.27
  6. Step 6: Final answer
    x = 10,596.82

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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.