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Finding the Fourth Proportional to 7,756.56, 11,630.70 and 4,049.82

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Solution

The fourth proportional to 7,756.56, 11,630.70 and 4,049.82 is: 6,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.56 : 11,630.70 = 4,049.82 : x
  2. Step 2: Convert to fraction form
    7,756.56/11,630.70 = 4,049.82/x
  3. Step 3: Cross multiply
    7,756.56x = 11,630.70 × 4,049.82
  4. Step 4: Simplify right side
    7,756.56x = 47,102,241.47
  5. Step 5: Solve for x
    x = 47,102,241.47/7,756.56
  6. Step 6: Final answer
    x = 6,072.57

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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.