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Finding the Fourth Proportional to 7,187.88, 10,780.20 and 1,994.16

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Solution

The fourth proportional to 7,187.88, 10,780.20 and 1,994.16 is: 2,990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.88 : 10,780.20 = 1,994.16 : x
  2. Step 2: Convert to fraction form
    7,187.88/10,780.20 = 1,994.16/x
  3. Step 3: Cross multiply
    7,187.88x = 10,780.20 × 1,994.16
  4. Step 4: Simplify right side
    7,187.88x = 21,497,443.63
  5. Step 5: Solve for x
    x = 21,497,443.63/7,187.88
  6. Step 6: Final answer
    x = 2,990.79

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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.