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Finding the Fourth Proportional to 11,981.26, 16,525.34 and 7,730.16

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Solution

The fourth proportional to 11,981.26, 16,525.34 and 7,730.16 is: 10,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.26 : 16,525.34 = 7,730.16 : x
  2. Step 2: Convert to fraction form
    11,981.26/16,525.34 = 7,730.16/x
  3. Step 3: Cross multiply
    11,981.26x = 16,525.34 × 7,730.16
  4. Step 4: Simplify right side
    11,981.26x = 127,743,522.25
  5. Step 5: Solve for x
    x = 127,743,522.25/11,981.26
  6. Step 6: Final answer
    x = 10,661.94

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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.