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Finding the Fourth Proportional to 8,485.68, 12,716.16 and 7,443.12

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Solution

The fourth proportional to 8,485.68, 12,716.16 and 7,443.12 is: 11,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.68 : 12,716.16 = 7,443.12 : x
  2. Step 2: Convert to fraction form
    8,485.68/12,716.16 = 7,443.12/x
  3. Step 3: Cross multiply
    8,485.68x = 12,716.16 × 7,443.12
  4. Step 4: Simplify right side
    8,485.68x = 94,647,904.82
  5. Step 5: Solve for x
    x = 94,647,904.82/8,485.68
  6. Step 6: Final answer
    x = 11,153.84

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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.