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Finding the Fourth Proportional to 7,380.63, 10,184.81 and 4,193.55

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Solution

The fourth proportional to 7,380.63, 10,184.81 and 4,193.55 is: 5,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.63 : 10,184.81 = 4,193.55 : x
  2. Step 2: Convert to fraction form
    7,380.63/10,184.81 = 4,193.55/x
  3. Step 3: Cross multiply
    7,380.63x = 10,184.81 × 4,193.55
  4. Step 4: Simplify right side
    7,380.63x = 42,710,489.01
  5. Step 5: Solve for x
    x = 42,710,489.01/7,380.63
  6. Step 6: Final answer
    x = 5,786.84

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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.