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Finding the Fourth Proportional to 8,271.73, 11,414.94 and 4,734.93

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Solution

The fourth proportional to 8,271.73, 11,414.94 and 4,734.93 is: 6,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.73 : 11,414.94 = 4,734.93 : x
  2. Step 2: Convert to fraction form
    8,271.73/11,414.94 = 4,734.93/x
  3. Step 3: Cross multiply
    8,271.73x = 11,414.94 × 4,734.93
  4. Step 4: Simplify right side
    8,271.73x = 54,048,941.85
  5. Step 5: Solve for x
    x = 54,048,941.85/8,271.73
  6. Step 6: Final answer
    x = 6,534.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.