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Finding the Fourth Proportional to 7,731.06, 10,668.94 and 4,194.30

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Solution

The fourth proportional to 7,731.06, 10,668.94 and 4,194.30 is: 5,788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.06 : 10,668.94 = 4,194.30 : x
  2. Step 2: Convert to fraction form
    7,731.06/10,668.94 = 4,194.30/x
  3. Step 3: Cross multiply
    7,731.06x = 10,668.94 × 4,194.30
  4. Step 4: Simplify right side
    7,731.06x = 44,748,735.04
  5. Step 5: Solve for x
    x = 44,748,735.04/7,731.06
  6. Step 6: Final answer
    x = 5,788.18

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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.