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Finding the Fourth Proportional to 8,141.81, 11,235.70 and 4,604.95

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Solution

The fourth proportional to 8,141.81, 11,235.70 and 4,604.95 is: 6,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.81 : 11,235.70 = 4,604.95 : x
  2. Step 2: Convert to fraction form
    8,141.81/11,235.70 = 4,604.95/x
  3. Step 3: Cross multiply
    8,141.81x = 11,235.70 × 4,604.95
  4. Step 4: Simplify right side
    8,141.81x = 51,739,820.14
  5. Step 5: Solve for x
    x = 51,739,820.14/8,141.81
  6. Step 6: Final answer
    x = 6,354.83

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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.