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Finding the Fourth Proportional to 7,731.09, 10,668.65 and 4,747.05

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Solution

The fourth proportional to 7,731.09, 10,668.65 and 4,747.05 is: 6,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.09 : 10,668.65 = 4,747.05 : x
  2. Step 2: Convert to fraction form
    7,731.09/10,668.65 = 4,747.05/x
  3. Step 3: Cross multiply
    7,731.09x = 10,668.65 × 4,747.05
  4. Step 4: Simplify right side
    7,731.09x = 50,644,591.25
  5. Step 5: Solve for x
    x = 50,644,591.25/7,731.09
  6. Step 6: Final answer
    x = 6,550.77

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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.