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Finding the Fourth Proportional to 7,586, 10,468.68 and 4,274

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Solution

The fourth proportional to 7,586, 10,468.68 and 4,274 is: 5,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586 : 10,468.68 = 4,274 : x
  2. Step 2: Convert to fraction form
    7,586/10,468.68 = 4,274/x
  3. Step 3: Cross multiply
    7,586x = 10,468.68 × 4,274
  4. Step 4: Simplify right side
    7,586x = 44,743,138.32
  5. Step 5: Solve for x
    x = 44,743,138.32/7,586
  6. Step 6: Final answer
    x = 5,898.12

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