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Finding the Fourth Proportional to 8,510.46, 11,742.73 and 4,972.98

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Solution

The fourth proportional to 8,510.46, 11,742.73 and 4,972.98 is: 6,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.46 : 11,742.73 = 4,972.98 : x
  2. Step 2: Convert to fraction form
    8,510.46/11,742.73 = 4,972.98/x
  3. Step 3: Cross multiply
    8,510.46x = 11,742.73 × 4,972.98
  4. Step 4: Simplify right side
    8,510.46x = 58,396,361.44
  5. Step 5: Solve for x
    x = 58,396,361.44/8,510.46
  6. Step 6: Final answer
    x = 6,861.72

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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.