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Finding the Fourth Proportional to 11,605.71, 16,015.78 and 6,300.42

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Solution

The fourth proportional to 11,605.71, 16,015.78 and 6,300.42 is: 8,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.71 : 16,015.78 = 6,300.42 : x
  2. Step 2: Convert to fraction form
    11,605.71/16,015.78 = 6,300.42/x
  3. Step 3: Cross multiply
    11,605.71x = 16,015.78 × 6,300.42
  4. Step 4: Simplify right side
    11,605.71x = 100,906,140.63
  5. Step 5: Solve for x
    x = 100,906,140.63/11,605.71
  6. Step 6: Final answer
    x = 8,694.53

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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.