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Finding the Fourth Proportional to 7,731.96, 10,668.30 and 5,218.74

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Solution

The fourth proportional to 7,731.96, 10,668.30 and 5,218.74 is: 7,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.96 : 10,668.30 = 5,218.74 : x
  2. Step 2: Convert to fraction form
    7,731.96/10,668.30 = 5,218.74/x
  3. Step 3: Cross multiply
    7,731.96x = 10,668.30 × 5,218.74
  4. Step 4: Simplify right side
    7,731.96x = 55,675,083.94
  5. Step 5: Solve for x
    x = 55,675,083.94/7,731.96
  6. Step 6: Final answer
    x = 7,200.64

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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.