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Finding the Fourth Proportional to 11,709.90, 16,164.47 and 7,938.23

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Solution

The fourth proportional to 11,709.90, 16,164.47 and 7,938.23 is: 10,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.90 : 16,164.47 = 7,938.23 : x
  2. Step 2: Convert to fraction form
    11,709.90/16,164.47 = 7,938.23/x
  3. Step 3: Cross multiply
    11,709.90x = 16,164.47 × 7,938.23
  4. Step 4: Simplify right side
    11,709.90x = 128,317,280.69
  5. Step 5: Solve for x
    x = 128,317,280.69/11,709.90
  6. Step 6: Final answer
    x = 10,958.02

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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.