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Finding the Fourth Proportional to 7,522.90, 11,294.70 and 3,827.63

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Solution

The fourth proportional to 7,522.90, 11,294.70 and 3,827.63 is: 5,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.90 : 11,294.70 = 3,827.63 : x
  2. Step 2: Convert to fraction form
    7,522.90/11,294.70 = 3,827.63/x
  3. Step 3: Cross multiply
    7,522.90x = 11,294.70 × 3,827.63
  4. Step 4: Simplify right side
    7,522.90x = 43,231,932.56
  5. Step 5: Solve for x
    x = 43,231,932.56/7,522.90
  6. Step 6: Final answer
    x = 5,746.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.