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Finding the Fourth Proportional to 8,204.16, 12,271.68 and 7,396.32

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Solution

The fourth proportional to 8,204.16, 12,271.68 and 7,396.32 is: 11,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.16 : 12,271.68 = 7,396.32 : x
  2. Step 2: Convert to fraction form
    8,204.16/12,271.68 = 7,396.32/x
  3. Step 3: Cross multiply
    8,204.16x = 12,271.68 × 7,396.32
  4. Step 4: Simplify right side
    8,204.16x = 90,765,272.22
  5. Step 5: Solve for x
    x = 90,765,272.22/8,204.16
  6. Step 6: Final answer
    x = 11,063.32

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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.