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Finding the Fourth Proportional to 11,691.23, 16,133.94 and 6,386.07

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Solution

The fourth proportional to 11,691.23, 16,133.94 and 6,386.07 is: 8,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.23 : 16,133.94 = 6,386.07 : x
  2. Step 2: Convert to fraction form
    11,691.23/16,133.94 = 6,386.07/x
  3. Step 3: Cross multiply
    11,691.23x = 16,133.94 × 6,386.07
  4. Step 4: Simplify right side
    11,691.23x = 103,032,470.22
  5. Step 5: Solve for x
    x = 103,032,470.22/11,691.23
  6. Step 6: Final answer
    x = 8,812.80

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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.