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Finding the Fourth Proportional to 7,924.92, 11,885.82 and 3,706.98

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Solution

The fourth proportional to 7,924.92, 11,885.82 and 3,706.98 is: 5,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.92 : 11,885.82 = 3,706.98 : x
  2. Step 2: Convert to fraction form
    7,924.92/11,885.82 = 3,706.98/x
  3. Step 3: Cross multiply
    7,924.92x = 11,885.82 × 3,706.98
  4. Step 4: Simplify right side
    7,924.92x = 44,060,497.02
  5. Step 5: Solve for x
    x = 44,060,497.02/7,924.92
  6. Step 6: Final answer
    x = 5,559.74

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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.