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Finding the Fourth Proportional to 8,431.97, 11,635.98 and 4,655.50

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Solution

The fourth proportional to 8,431.97, 11,635.98 and 4,655.50 is: 6,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.97 : 11,635.98 = 4,655.50 : x
  2. Step 2: Convert to fraction form
    8,431.97/11,635.98 = 4,655.50/x
  3. Step 3: Cross multiply
    8,431.97x = 11,635.98 × 4,655.50
  4. Step 4: Simplify right side
    8,431.97x = 54,171,304.16
  5. Step 5: Solve for x
    x = 54,171,304.16/8,431.97
  6. Step 6: Final answer
    x = 6,424.51

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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.