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Finding the Fourth Proportional to 11,976.16, 17,966.40 and 5,405.44

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Solution

The fourth proportional to 11,976.16, 17,966.40 and 5,405.44 is: 8,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.16 : 17,966.40 = 5,405.44 : x
  2. Step 2: Convert to fraction form
    11,976.16/17,966.40 = 5,405.44/x
  3. Step 3: Cross multiply
    11,976.16x = 17,966.40 × 5,405.44
  4. Step 4: Simplify right side
    11,976.16x = 97,116,297.22
  5. Step 5: Solve for x
    x = 97,116,297.22/11,976.16
  6. Step 6: Final answer
    x = 8,109.13

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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.