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Finding the Fourth Proportional to 8,375, 11,558.04 and 4,649

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Solution

The fourth proportional to 8,375, 11,558.04 and 4,649 is: 6,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375 : 11,558.04 = 4,649 : x
  2. Step 2: Convert to fraction form
    8,375/11,558.04 = 4,649/x
  3. Step 3: Cross multiply
    8,375x = 11,558.04 × 4,649
  4. Step 4: Simplify right side
    8,375x = 53,733,327.96
  5. Step 5: Solve for x
    x = 53,733,327.96/8,375
  6. Step 6: Final answer
    x = 6,415.92

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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.