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Finding the Fourth Proportional to 11,578.30, 17,360.16 and 7,625.30

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Solution

The fourth proportional to 11,578.30, 17,360.16 and 7,625.30 is: 11,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.30 : 17,360.16 = 7,625.30 : x
  2. Step 2: Convert to fraction form
    11,578.30/17,360.16 = 7,625.30/x
  3. Step 3: Cross multiply
    11,578.30x = 17,360.16 × 7,625.30
  4. Step 4: Simplify right side
    11,578.30x = 132,376,428.05
  5. Step 5: Solve for x
    x = 132,376,428.05/11,578.30
  6. Step 6: Final answer
    x = 11,433.15

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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.