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Finding the Fourth Proportional to 8,534.24, 12,797.76 and 3,336.32

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Solution

The fourth proportional to 8,534.24, 12,797.76 and 3,336.32 is: 5,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.24 : 12,797.76 = 3,336.32 : x
  2. Step 2: Convert to fraction form
    8,534.24/12,797.76 = 3,336.32/x
  3. Step 3: Cross multiply
    8,534.24x = 12,797.76 × 3,336.32
  4. Step 4: Simplify right side
    8,534.24x = 42,697,422.64
  5. Step 5: Solve for x
    x = 42,697,422.64/8,534.24
  6. Step 6: Final answer
    x = 5,003.07

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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.