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Finding the Fourth Proportional to 7,943.12, 11,922.44 and 3,786

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Solution

The fourth proportional to 7,943.12, 11,922.44 and 3,786 is: 5,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.12 : 11,922.44 = 3,786 : x
  2. Step 2: Convert to fraction form
    7,943.12/11,922.44 = 3,786/x
  3. Step 3: Cross multiply
    7,943.12x = 11,922.44 × 3,786
  4. Step 4: Simplify right side
    7,943.12x = 45,138,357.84
  5. Step 5: Solve for x
    x = 45,138,357.84/7,943.12
  6. Step 6: Final answer
    x = 5,682.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.