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Finding the Fourth Proportional to 8,426.84, 11,629.16 and 4,891.12

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Solution

The fourth proportional to 8,426.84, 11,629.16 and 4,891.12 is: 6,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.84 : 11,629.16 = 4,891.12 : x
  2. Step 2: Convert to fraction form
    8,426.84/11,629.16 = 4,891.12/x
  3. Step 3: Cross multiply
    8,426.84x = 11,629.16 × 4,891.12
  4. Step 4: Simplify right side
    8,426.84x = 56,879,617.06
  5. Step 5: Solve for x
    x = 56,879,617.06/8,426.84
  6. Step 6: Final answer
    x = 6,749.82

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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.