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Finding the Fourth Proportional to 7,585.29, 11,380.77 and 4,819.14

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Solution

The fourth proportional to 7,585.29, 11,380.77 and 4,819.14 is: 7,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.29 : 11,380.77 = 4,819.14 : x
  2. Step 2: Convert to fraction form
    7,585.29/11,380.77 = 4,819.14/x
  3. Step 3: Cross multiply
    7,585.29x = 11,380.77 × 4,819.14
  4. Step 4: Simplify right side
    7,585.29x = 54,845,523.94
  5. Step 5: Solve for x
    x = 54,845,523.94/7,585.29
  6. Step 6: Final answer
    x = 7,230.51

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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.