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Finding the Fourth Proportional to 7,645.70, 11,466.78 and 2,099.49

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Solution

The fourth proportional to 7,645.70, 11,466.78 and 2,099.49 is: 3,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.70 : 11,466.78 = 2,099.49 : x
  2. Step 2: Convert to fraction form
    7,645.70/11,466.78 = 2,099.49/x
  3. Step 3: Cross multiply
    7,645.70x = 11,466.78 × 2,099.49
  4. Step 4: Simplify right side
    7,645.70x = 24,074,438.77
  5. Step 5: Solve for x
    x = 24,074,438.77/7,645.70
  6. Step 6: Final answer
    x = 3,148.75

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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.