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Finding the Fourth Proportional to 7,441.39, 11,162.12 and 1,894.77

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Solution

The fourth proportional to 7,441.39, 11,162.12 and 1,894.77 is: 2,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.39 : 11,162.12 = 1,894.77 : x
  2. Step 2: Convert to fraction form
    7,441.39/11,162.12 = 1,894.77/x
  3. Step 3: Cross multiply
    7,441.39x = 11,162.12 × 1,894.77
  4. Step 4: Simplify right side
    7,441.39x = 21,149,650.11
  5. Step 5: Solve for x
    x = 21,149,650.11/7,441.39
  6. Step 6: Final answer
    x = 2,842.16

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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.