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Finding the Fourth Proportional to 11,600.53, 17,376.09 and 5,668.29

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Solution

The fourth proportional to 11,600.53, 17,376.09 and 5,668.29 is: 8,490.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.53 : 17,376.09 = 5,668.29 : x
  2. Step 2: Convert to fraction form
    11,600.53/17,376.09 = 5,668.29/x
  3. Step 3: Cross multiply
    11,600.53x = 17,376.09 × 5,668.29
  4. Step 4: Simplify right side
    11,600.53x = 98,492,695.93
  5. Step 5: Solve for x
    x = 98,492,695.93/11,600.53
  6. Step 6: Final answer
    x = 8,490.36

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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.