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Finding the Fourth Proportional to 7,803.88, 11,705.82 and 3,186.88

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Solution

The fourth proportional to 7,803.88, 11,705.82 and 3,186.88 is: 4,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.88 : 11,705.82 = 3,186.88 : x
  2. Step 2: Convert to fraction form
    7,803.88/11,705.82 = 3,186.88/x
  3. Step 3: Cross multiply
    7,803.88x = 11,705.82 × 3,186.88
  4. Step 4: Simplify right side
    7,803.88x = 37,304,997.06
  5. Step 5: Solve for x
    x = 37,304,997.06/7,803.88
  6. Step 6: Final answer
    x = 4,780.32

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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.