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Finding the Fourth Proportional to 6,866.72, 10,288.31 and 4,611.02

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Solution

The fourth proportional to 6,866.72, 10,288.31 and 4,611.02 is: 6,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.72 : 10,288.31 = 4,611.02 : x
  2. Step 2: Convert to fraction form
    6,866.72/10,288.31 = 4,611.02/x
  3. Step 3: Cross multiply
    6,866.72x = 10,288.31 × 4,611.02
  4. Step 4: Simplify right side
    6,866.72x = 47,439,603.18
  5. Step 5: Solve for x
    x = 47,439,603.18/6,866.72
  6. Step 6: Final answer
    x = 6,908.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.