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Finding the Fourth Proportional to 11,757.04, 16,224.62 and 6,451.90

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Solution

The fourth proportional to 11,757.04, 16,224.62 and 6,451.90 is: 8,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.04 : 16,224.62 = 6,451.90 : x
  2. Step 2: Convert to fraction form
    11,757.04/16,224.62 = 6,451.90/x
  3. Step 3: Cross multiply
    11,757.04x = 16,224.62 × 6,451.90
  4. Step 4: Simplify right side
    11,757.04x = 104,679,625.78
  5. Step 5: Solve for x
    x = 104,679,625.78/11,757.04
  6. Step 6: Final answer
    x = 8,903.57

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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.