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Finding the Fourth Proportional to 8,458.50, 11,672.82 and 4,732.50

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Solution

The fourth proportional to 8,458.50, 11,672.82 and 4,732.50 is: 6,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458.50 : 11,672.82 = 4,732.50 : x
  2. Step 2: Convert to fraction form
    8,458.50/11,672.82 = 4,732.50/x
  3. Step 3: Cross multiply
    8,458.50x = 11,672.82 × 4,732.50
  4. Step 4: Simplify right side
    8,458.50x = 55,241,620.65
  5. Step 5: Solve for x
    x = 55,241,620.65/8,458.50
  6. Step 6: Final answer
    x = 6,530.90

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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.