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Finding the Fourth Proportional to 8,546.40, 12,796.44 and 4,433.76

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Solution

The fourth proportional to 8,546.40, 12,796.44 and 4,433.76 is: 6,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.40 : 12,796.44 = 4,433.76 : x
  2. Step 2: Convert to fraction form
    8,546.40/12,796.44 = 4,433.76/x
  3. Step 3: Cross multiply
    8,546.40x = 12,796.44 × 4,433.76
  4. Step 4: Simplify right side
    8,546.40x = 56,736,343.81
  5. Step 5: Solve for x
    x = 56,736,343.81/8,546.40
  6. Step 6: Final answer
    x = 6,638.62

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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.