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Finding the Fourth Proportional to 11,756.88, 16,221.96 and 6,786

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Solution

The fourth proportional to 11,756.88, 16,221.96 and 6,786 is: 9,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.88 : 16,221.96 = 6,786 : x
  2. Step 2: Convert to fraction form
    11,756.88/16,221.96 = 6,786/x
  3. Step 3: Cross multiply
    11,756.88x = 16,221.96 × 6,786
  4. Step 4: Simplify right side
    11,756.88x = 110,082,220.56
  5. Step 5: Solve for x
    x = 110,082,220.56/11,756.88
  6. Step 6: Final answer
    x = 9,363.22

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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.