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Finding the Fourth Proportional to 7,093.94, 10,640.30 and 2,931.35

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Solution

The fourth proportional to 7,093.94, 10,640.30 and 2,931.35 is: 4,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.94 : 10,640.30 = 2,931.35 : x
  2. Step 2: Convert to fraction form
    7,093.94/10,640.30 = 2,931.35/x
  3. Step 3: Cross multiply
    7,093.94x = 10,640.30 × 2,931.35
  4. Step 4: Simplify right side
    7,093.94x = 31,190,375.55
  5. Step 5: Solve for x
    x = 31,190,375.55/7,093.94
  6. Step 6: Final answer
    x = 4,396.77

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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.