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Finding the Fourth Proportional to 7,759.53, 10,704.83 and 4,774.28

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Solution

The fourth proportional to 7,759.53, 10,704.83 and 4,774.28 is: 6,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.53 : 10,704.83 = 4,774.28 : x
  2. Step 2: Convert to fraction form
    7,759.53/10,704.83 = 4,774.28/x
  3. Step 3: Cross multiply
    7,759.53x = 10,704.83 × 4,774.28
  4. Step 4: Simplify right side
    7,759.53x = 51,107,778.38
  5. Step 5: Solve for x
    x = 51,107,778.38/7,759.53
  6. Step 6: Final answer
    x = 6,586.45

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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.