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Finding the Fourth Proportional to 11,464.77, 17,202.02 and 6,264.57

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Solution

The fourth proportional to 11,464.77, 17,202.02 and 6,264.57 is: 9,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.77 : 17,202.02 = 6,264.57 : x
  2. Step 2: Convert to fraction form
    11,464.77/17,202.02 = 6,264.57/x
  3. Step 3: Cross multiply
    11,464.77x = 17,202.02 × 6,264.57
  4. Step 4: Simplify right side
    11,464.77x = 107,763,258.43
  5. Step 5: Solve for x
    x = 107,763,258.43/11,464.77
  6. Step 6: Final answer
    x = 9,399.51

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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.