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Finding the Fourth Proportional to 8,231.64, 12,346.40 and 4,856.37

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Solution

The fourth proportional to 8,231.64, 12,346.40 and 4,856.37 is: 7,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.64 : 12,346.40 = 4,856.37 : x
  2. Step 2: Convert to fraction form
    8,231.64/12,346.40 = 4,856.37/x
  3. Step 3: Cross multiply
    8,231.64x = 12,346.40 × 4,856.37
  4. Step 4: Simplify right side
    8,231.64x = 59,958,662.29
  5. Step 5: Solve for x
    x = 59,958,662.29/8,231.64
  6. Step 6: Final answer
    x = 7,283.93

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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.