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Finding the Fourth Proportional to 7,636.55, 11,456.64 and 2,706.62

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Solution

The fourth proportional to 7,636.55, 11,456.64 and 2,706.62 is: 4,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.55 : 11,456.64 = 2,706.62 : x
  2. Step 2: Convert to fraction form
    7,636.55/11,456.64 = 2,706.62/x
  3. Step 3: Cross multiply
    7,636.55x = 11,456.64 × 2,706.62
  4. Step 4: Simplify right side
    7,636.55x = 31,008,713.67
  5. Step 5: Solve for x
    x = 31,008,713.67/7,636.55
  6. Step 6: Final answer
    x = 4,060.57

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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.