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Finding the Fourth Proportional to 12,540.75, 17,307.68 and 7,164.04

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Solution

The fourth proportional to 12,540.75, 17,307.68 and 7,164.04 is: 9,887.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,540.75 : 17,307.68 = 7,164.04 : x
  2. Step 2: Convert to fraction form
    12,540.75/17,307.68 = 7,164.04/x
  3. Step 3: Cross multiply
    12,540.75x = 17,307.68 × 7,164.04
  4. Step 4: Simplify right side
    12,540.75x = 123,992,800.29
  5. Step 5: Solve for x
    x = 123,992,800.29/12,540.75
  6. Step 6: Final answer
    x = 9,887.19

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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.