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Finding the Fourth Proportional to 11,544.32, 17,318.64 and 4,969.28

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Solution

The fourth proportional to 11,544.32, 17,318.64 and 4,969.28 is: 7,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.32 : 17,318.64 = 4,969.28 : x
  2. Step 2: Convert to fraction form
    11,544.32/17,318.64 = 4,969.28/x
  3. Step 3: Cross multiply
    11,544.32x = 17,318.64 × 4,969.28
  4. Step 4: Simplify right side
    11,544.32x = 86,061,171.38
  5. Step 5: Solve for x
    x = 86,061,171.38/11,544.32
  6. Step 6: Final answer
    x = 7,454.85

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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.