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Finding the Fourth Proportional to 11,756.72, 16,223.75 and 6,451.43

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Solution

The fourth proportional to 11,756.72, 16,223.75 and 6,451.43 is: 8,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.72 : 16,223.75 = 6,451.43 : x
  2. Step 2: Convert to fraction form
    11,756.72/16,223.75 = 6,451.43/x
  3. Step 3: Cross multiply
    11,756.72x = 16,223.75 × 6,451.43
  4. Step 4: Simplify right side
    11,756.72x = 104,666,274.09
  5. Step 5: Solve for x
    x = 104,666,274.09/11,756.72
  6. Step 6: Final answer
    x = 8,902.68

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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.