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Finding the Fourth Proportional to 11,522.16, 17,278.92 and 9,085.68

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Solution

The fourth proportional to 11,522.16, 17,278.92 and 9,085.68 is: 13,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.16 : 17,278.92 = 9,085.68 : x
  2. Step 2: Convert to fraction form
    11,522.16/17,278.92 = 9,085.68/x
  3. Step 3: Cross multiply
    11,522.16x = 17,278.92 × 9,085.68
  4. Step 4: Simplify right side
    11,522.16x = 156,990,737.87
  5. Step 5: Solve for x
    x = 156,990,737.87/11,522.16
  6. Step 6: Final answer
    x = 13,625.11

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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.