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Finding the Fourth Proportional to 6,779.52, 10,205.28 and 5,777.28

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Solution

The fourth proportional to 6,779.52, 10,205.28 and 5,777.28 is: 8,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.52 : 10,205.28 = 5,777.28 : x
  2. Step 2: Convert to fraction form
    6,779.52/10,205.28 = 5,777.28/x
  3. Step 3: Cross multiply
    6,779.52x = 10,205.28 × 5,777.28
  4. Step 4: Simplify right side
    6,779.52x = 58,958,760.04
  5. Step 5: Solve for x
    x = 58,958,760.04/6,779.52
  6. Step 6: Final answer
    x = 8,696.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.