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Finding the Fourth Proportional to 7,792, 11,658.84 and 4,856.56

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Solution

The fourth proportional to 7,792, 11,658.84 and 4,856.56 is: 7,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792 : 11,658.84 = 4,856.56 : x
  2. Step 2: Convert to fraction form
    7,792/11,658.84 = 4,856.56/x
  3. Step 3: Cross multiply
    7,792x = 11,658.84 × 4,856.56
  4. Step 4: Simplify right side
    7,792x = 56,621,855.99
  5. Step 5: Solve for x
    x = 56,621,855.99/7,792
  6. Step 6: Final answer
    x = 7,266.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.