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Finding the Fourth Proportional to 8,381.12, 11,566 and 4,604.24

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Solution

The fourth proportional to 8,381.12, 11,566 and 4,604.24 is: 6,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.12 : 11,566 = 4,604.24 : x
  2. Step 2: Convert to fraction form
    8,381.12/11,566 = 4,604.24/x
  3. Step 3: Cross multiply
    8,381.12x = 11,566 × 4,604.24
  4. Step 4: Simplify right side
    8,381.12x = 53,252,639.84
  5. Step 5: Solve for x
    x = 53,252,639.84/8,381.12
  6. Step 6: Final answer
    x = 6,353.88

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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.