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Finding the Fourth Proportional to 8,206.75, 11,325.32 and 4,672

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Solution

The fourth proportional to 8,206.75, 11,325.32 and 4,672 is: 6,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.75 : 11,325.32 = 4,672 : x
  2. Step 2: Convert to fraction form
    8,206.75/11,325.32 = 4,672/x
  3. Step 3: Cross multiply
    8,206.75x = 11,325.32 × 4,672
  4. Step 4: Simplify right side
    8,206.75x = 52,911,895.04
  5. Step 5: Solve for x
    x = 52,911,895.04/8,206.75
  6. Step 6: Final answer
    x = 6,447.36

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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.