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Finding the Fourth Proportional to 7,586.30, 10,467.82 and 4,228.38

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Solution

The fourth proportional to 7,586.30, 10,467.82 and 4,228.38 is: 5,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.30 : 10,467.82 = 4,228.38 : x
  2. Step 2: Convert to fraction form
    7,586.30/10,467.82 = 4,228.38/x
  3. Step 3: Cross multiply
    7,586.30x = 10,467.82 × 4,228.38
  4. Step 4: Simplify right side
    7,586.30x = 44,261,920.73
  5. Step 5: Solve for x
    x = 44,261,920.73/7,586.30
  6. Step 6: Final answer
    x = 5,834.45

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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.