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Finding the Fourth Proportional to 7,640.64, 10,544.82 and 4,284.02

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Solution

The fourth proportional to 7,640.64, 10,544.82 and 4,284.02 is: 5,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.64 : 10,544.82 = 4,284.02 : x
  2. Step 2: Convert to fraction form
    7,640.64/10,544.82 = 4,284.02/x
  3. Step 3: Cross multiply
    7,640.64x = 10,544.82 × 4,284.02
  4. Step 4: Simplify right side
    7,640.64x = 45,174,219.78
  5. Step 5: Solve for x
    x = 45,174,219.78/7,640.64
  6. Step 6: Final answer
    x = 5,912.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.