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Finding the Fourth Proportional to 11,817.09, 16,307.73 and 7,831.08

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Solution

The fourth proportional to 11,817.09, 16,307.73 and 7,831.08 is: 10,806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.09 : 16,307.73 = 7,831.08 : x
  2. Step 2: Convert to fraction form
    11,817.09/16,307.73 = 7,831.08/x
  3. Step 3: Cross multiply
    11,817.09x = 16,307.73 × 7,831.08
  4. Step 4: Simplify right side
    11,817.09x = 127,707,138.25
  5. Step 5: Solve for x
    x = 127,707,138.25/11,817.09
  6. Step 6: Final answer
    x = 10,806.99

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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.