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Finding the Fourth Proportional to 8,435.22, 11,640.45 and 4,658.31

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Solution

The fourth proportional to 8,435.22, 11,640.45 and 4,658.31 is: 6,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.22 : 11,640.45 = 4,658.31 : x
  2. Step 2: Convert to fraction form
    8,435.22/11,640.45 = 4,658.31/x
  3. Step 3: Cross multiply
    8,435.22x = 11,640.45 × 4,658.31
  4. Step 4: Simplify right side
    8,435.22x = 54,224,824.64
  5. Step 5: Solve for x
    x = 54,224,824.64/8,435.22
  6. Step 6: Final answer
    x = 6,428.38

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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.