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Finding the Fourth Proportional to 11,568.70, 17,346.08 and 5,633.88

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Solution

The fourth proportional to 11,568.70, 17,346.08 and 5,633.88 is: 8,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.70 : 17,346.08 = 5,633.88 : x
  2. Step 2: Convert to fraction form
    11,568.70/17,346.08 = 5,633.88/x
  3. Step 3: Cross multiply
    11,568.70x = 17,346.08 × 5,633.88
  4. Step 4: Simplify right side
    11,568.70x = 97,725,733.19
  5. Step 5: Solve for x
    x = 97,725,733.19/11,568.70
  6. Step 6: Final answer
    x = 8,447.43

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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.