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Finding the Fourth Proportional to 11,706.55, 16,144.50 and 7,731.67

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Solution

The fourth proportional to 11,706.55, 16,144.50 and 7,731.67 is: 10,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.55 : 16,144.50 = 7,731.67 : x
  2. Step 2: Convert to fraction form
    11,706.55/16,144.50 = 7,731.67/x
  3. Step 3: Cross multiply
    11,706.55x = 16,144.50 × 7,731.67
  4. Step 4: Simplify right side
    11,706.55x = 124,823,946.32
  5. Step 5: Solve for x
    x = 124,823,946.32/11,706.55
  6. Step 6: Final answer
    x = 10,662.74

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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.