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Finding the Fourth Proportional to 8,511.25, 11,745.53 and 4,785.25

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Solution

The fourth proportional to 8,511.25, 11,745.53 and 4,785.25 is: 6,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.25 : 11,745.53 = 4,785.25 : x
  2. Step 2: Convert to fraction form
    8,511.25/11,745.53 = 4,785.25/x
  3. Step 3: Cross multiply
    8,511.25x = 11,745.53 × 4,785.25
  4. Step 4: Simplify right side
    8,511.25x = 56,205,297.43
  5. Step 5: Solve for x
    x = 56,205,297.43/8,511.25
  6. Step 6: Final answer
    x = 6,603.65

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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.