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Finding the Fourth Proportional to 7,846.82, 11,771.88 and 2,916.50

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Solution

The fourth proportional to 7,846.82, 11,771.88 and 2,916.50 is: 4,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.82 : 11,771.88 = 2,916.50 : x
  2. Step 2: Convert to fraction form
    7,846.82/11,771.88 = 2,916.50/x
  3. Step 3: Cross multiply
    7,846.82x = 11,771.88 × 2,916.50
  4. Step 4: Simplify right side
    7,846.82x = 34,332,688.02
  5. Step 5: Solve for x
    x = 34,332,688.02/7,846.82
  6. Step 6: Final answer
    x = 4,375.36

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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.