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Finding the Fourth Proportional to 7,777.71, 11,671.40 and 3,160.71

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Solution

The fourth proportional to 7,777.71, 11,671.40 and 3,160.71 is: 4,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.71 : 11,671.40 = 3,160.71 : x
  2. Step 2: Convert to fraction form
    7,777.71/11,671.40 = 3,160.71/x
  3. Step 3: Cross multiply
    7,777.71x = 11,671.40 × 3,160.71
  4. Step 4: Simplify right side
    7,777.71x = 36,889,910.69
  5. Step 5: Solve for x
    x = 36,889,910.69/7,777.71
  6. Step 6: Final answer
    x = 4,743.03

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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.