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Finding the Fourth Proportional to 7,384.66, 10,191.43 and 4,198.95

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Solution

The fourth proportional to 7,384.66, 10,191.43 and 4,198.95 is: 5,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.66 : 10,191.43 = 4,198.95 : x
  2. Step 2: Convert to fraction form
    7,384.66/10,191.43 = 4,198.95/x
  3. Step 3: Cross multiply
    7,384.66x = 10,191.43 × 4,198.95
  4. Step 4: Simplify right side
    7,384.66x = 42,793,305.00
  5. Step 5: Solve for x
    x = 42,793,305.00/7,384.66
  6. Step 6: Final answer
    x = 5,794.90

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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.