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Finding the Fourth Proportional to 8,511.34, 11,745.48 and 4,734.38

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Solution

The fourth proportional to 8,511.34, 11,745.48 and 4,734.38 is: 6,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.34 : 11,745.48 = 4,734.38 : x
  2. Step 2: Convert to fraction form
    8,511.34/11,745.48 = 4,734.38/x
  3. Step 3: Cross multiply
    8,511.34x = 11,745.48 × 4,734.38
  4. Step 4: Simplify right side
    8,511.34x = 55,607,506.88
  5. Step 5: Solve for x
    x = 55,607,506.88/8,511.34
  6. Step 6: Final answer
    x = 6,533.35

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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.