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Finding the Fourth Proportional to 6,511.68, 8,983.44 and 4,152.96

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Solution

The fourth proportional to 6,511.68, 8,983.44 and 4,152.96 is: 5,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.68 : 8,983.44 = 4,152.96 : x
  2. Step 2: Convert to fraction form
    6,511.68/8,983.44 = 4,152.96/x
  3. Step 3: Cross multiply
    6,511.68x = 8,983.44 × 4,152.96
  4. Step 4: Simplify right side
    6,511.68x = 37,307,866.98
  5. Step 5: Solve for x
    x = 37,307,866.98/6,511.68
  6. Step 6: Final answer
    x = 5,729.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.