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Finding the Fourth Proportional to 8,428.37, 12,643.11 and 4,265.46

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Solution

The fourth proportional to 8,428.37, 12,643.11 and 4,265.46 is: 6,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.37 : 12,643.11 = 4,265.46 : x
  2. Step 2: Convert to fraction form
    8,428.37/12,643.11 = 4,265.46/x
  3. Step 3: Cross multiply
    8,428.37x = 12,643.11 × 4,265.46
  4. Step 4: Simplify right side
    8,428.37x = 53,928,679.98
  5. Step 5: Solve for x
    x = 53,928,679.98/8,428.37
  6. Step 6: Final answer
    x = 6,398.47

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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.