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Finding the Fourth Proportional to 6,715.64, 10,028.16 and 5,485.44

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Solution

The fourth proportional to 6,715.64, 10,028.16 and 5,485.44 is: 8,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.64 : 10,028.16 = 5,485.44 : x
  2. Step 2: Convert to fraction form
    6,715.64/10,028.16 = 5,485.44/x
  3. Step 3: Cross multiply
    6,715.64x = 10,028.16 × 5,485.44
  4. Step 4: Simplify right side
    6,715.64x = 55,008,869.99
  5. Step 5: Solve for x
    x = 55,008,869.99/6,715.64
  6. Step 6: Final answer
    x = 8,191.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.