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Finding the Fourth Proportional to 11,731.71, 16,189.14 and 6,426.42

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Solution

The fourth proportional to 11,731.71, 16,189.14 and 6,426.42 is: 8,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731.71 : 16,189.14 = 6,426.42 : x
  2. Step 2: Convert to fraction form
    11,731.71/16,189.14 = 6,426.42/x
  3. Step 3: Cross multiply
    11,731.71x = 16,189.14 × 6,426.42
  4. Step 4: Simplify right side
    11,731.71x = 104,038,213.08
  5. Step 5: Solve for x
    x = 104,038,213.08/11,731.71
  6. Step 6: Final answer
    x = 8,868.12

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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.