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Finding the Fourth Proportional to 7,895.08, 11,840.22 and 3,277

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Solution

The fourth proportional to 7,895.08, 11,840.22 and 3,277 is: 4,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.08 : 11,840.22 = 3,277 : x
  2. Step 2: Convert to fraction form
    7,895.08/11,840.22 = 3,277/x
  3. Step 3: Cross multiply
    7,895.08x = 11,840.22 × 3,277
  4. Step 4: Simplify right side
    7,895.08x = 38,800,400.94
  5. Step 5: Solve for x
    x = 38,800,400.94/7,895.08
  6. Step 6: Final answer
    x = 4,914.50

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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.