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Finding the Fourth Proportional to 11,450.16, 17,175.24 and 6,259.68

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Solution

The fourth proportional to 11,450.16, 17,175.24 and 6,259.68 is: 9,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.16 : 17,175.24 = 6,259.68 : x
  2. Step 2: Convert to fraction form
    11,450.16/17,175.24 = 6,259.68/x
  3. Step 3: Cross multiply
    11,450.16x = 17,175.24 × 6,259.68
  4. Step 4: Simplify right side
    11,450.16x = 107,511,506.32
  5. Step 5: Solve for x
    x = 107,511,506.32/11,450.16
  6. Step 6: Final answer
    x = 9,389.52

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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.