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Finding the Fourth Proportional to 11,661.14, 17,496.88 and 6,113.16

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Solution

The fourth proportional to 11,661.14, 17,496.88 and 6,113.16 is: 9,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.14 : 17,496.88 = 6,113.16 : x
  2. Step 2: Convert to fraction form
    11,661.14/17,496.88 = 6,113.16/x
  3. Step 3: Cross multiply
    11,661.14x = 17,496.88 × 6,113.16
  4. Step 4: Simplify right side
    11,661.14x = 106,961,226.94
  5. Step 5: Solve for x
    x = 106,961,226.94/11,661.14
  6. Step 6: Final answer
    x = 9,172.45

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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.