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Finding the Fourth Proportional to 7,380.63, 10,185.03 and 4,194.18

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Solution

The fourth proportional to 7,380.63, 10,185.03 and 4,194.18 is: 5,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.63 : 10,185.03 = 4,194.18 : x
  2. Step 2: Convert to fraction form
    7,380.63/10,185.03 = 4,194.18/x
  3. Step 3: Cross multiply
    7,380.63x = 10,185.03 × 4,194.18
  4. Step 4: Simplify right side
    7,380.63x = 42,717,849.13
  5. Step 5: Solve for x
    x = 42,717,849.13/7,380.63
  6. Step 6: Final answer
    x = 5,787.83

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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.