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Finding the Fourth Proportional to 6,771.84, 10,159.39 and 2,329.56

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Solution

The fourth proportional to 6,771.84, 10,159.39 and 2,329.56 is: 3,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.84 : 10,159.39 = 2,329.56 : x
  2. Step 2: Convert to fraction form
    6,771.84/10,159.39 = 2,329.56/x
  3. Step 3: Cross multiply
    6,771.84x = 10,159.39 × 2,329.56
  4. Step 4: Simplify right side
    6,771.84x = 23,666,911.48
  5. Step 5: Solve for x
    x = 23,666,911.48/6,771.84
  6. Step 6: Final answer
    x = 3,494.90

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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.