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Finding the Fourth Proportional to 11,464.83, 17,197.24 and 7,568.32

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Solution

The fourth proportional to 11,464.83, 17,197.24 and 7,568.32 is: 11,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.83 : 17,197.24 = 7,568.32 : x
  2. Step 2: Convert to fraction form
    11,464.83/17,197.24 = 7,568.32/x
  3. Step 3: Cross multiply
    11,464.83x = 17,197.24 × 7,568.32
  4. Step 4: Simplify right side
    11,464.83x = 130,154,277.35
  5. Step 5: Solve for x
    x = 130,154,277.35/11,464.83
  6. Step 6: Final answer
    x = 11,352.48

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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.