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Finding the Fourth Proportional to 10,965.64, 16,444.17 and 3,568.30

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Solution

The fourth proportional to 10,965.64, 16,444.17 and 3,568.30 is: 5,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.64 : 16,444.17 = 3,568.30 : x
  2. Step 2: Convert to fraction form
    10,965.64/16,444.17 = 3,568.30/x
  3. Step 3: Cross multiply
    10,965.64x = 16,444.17 × 3,568.30
  4. Step 4: Simplify right side
    10,965.64x = 58,677,731.81
  5. Step 5: Solve for x
    x = 58,677,731.81/10,965.64
  6. Step 6: Final answer
    x = 5,351.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.