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Finding the Fourth Proportional to 7,830.52, 11,745.74 and 3,673.44

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Solution

The fourth proportional to 7,830.52, 11,745.74 and 3,673.44 is: 5,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.52 : 11,745.74 = 3,673.44 : x
  2. Step 2: Convert to fraction form
    7,830.52/11,745.74 = 3,673.44/x
  3. Step 3: Cross multiply
    7,830.52x = 11,745.74 × 3,673.44
  4. Step 4: Simplify right side
    7,830.52x = 43,147,271.15
  5. Step 5: Solve for x
    x = 43,147,271.15/7,830.52
  6. Step 6: Final answer
    x = 5,510.14

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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.