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Finding the Fourth Proportional to 6,865.78, 10,293 and 3,164.89

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Solution

The fourth proportional to 6,865.78, 10,293 and 3,164.89 is: 4,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.78 : 10,293 = 3,164.89 : x
  2. Step 2: Convert to fraction form
    6,865.78/10,293 = 3,164.89/x
  3. Step 3: Cross multiply
    6,865.78x = 10,293 × 3,164.89
  4. Step 4: Simplify right side
    6,865.78x = 32,576,212.77
  5. Step 5: Solve for x
    x = 32,576,212.77/6,865.78
  6. Step 6: Final answer
    x = 4,744.72

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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.