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Finding the Fourth Proportional to 11,693.16, 17,530.02 and 5,449.88

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Solution

The fourth proportional to 11,693.16, 17,530.02 and 5,449.88 is: 8,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.16 : 17,530.02 = 5,449.88 : x
  2. Step 2: Convert to fraction form
    11,693.16/17,530.02 = 5,449.88/x
  3. Step 3: Cross multiply
    11,693.16x = 17,530.02 × 5,449.88
  4. Step 4: Simplify right side
    11,693.16x = 95,536,549.22
  5. Step 5: Solve for x
    x = 95,536,549.22/11,693.16
  6. Step 6: Final answer
    x = 8,170.29

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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.