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Finding the Fourth Proportional to 8,355, 11,530.26 and 4,629

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Solution

The fourth proportional to 8,355, 11,530.26 and 4,629 is: 6,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355 : 11,530.26 = 4,629 : x
  2. Step 2: Convert to fraction form
    8,355/11,530.26 = 4,629/x
  3. Step 3: Cross multiply
    8,355x = 11,530.26 × 4,629
  4. Step 4: Simplify right side
    8,355x = 53,373,573.54
  5. Step 5: Solve for x
    x = 53,373,573.54/8,355
  6. Step 6: Final answer
    x = 6,388.22

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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.