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Finding the Fourth Proportional to 7,730.96, 10,668.81 and 4,194.25

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Solution

The fourth proportional to 7,730.96, 10,668.81 and 4,194.25 is: 5,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.96 : 10,668.81 = 4,194.25 : x
  2. Step 2: Convert to fraction form
    7,730.96/10,668.81 = 4,194.25/x
  3. Step 3: Cross multiply
    7,730.96x = 10,668.81 × 4,194.25
  4. Step 4: Simplify right side
    7,730.96x = 44,747,645.40
  5. Step 5: Solve for x
    x = 44,747,645.40/7,730.96
  6. Step 6: Final answer
    x = 5,788.11

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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.