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Finding the Fourth Proportional to 8,124.03, 11,209.19 and 4,586.49

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Solution

The fourth proportional to 8,124.03, 11,209.19 and 4,586.49 is: 6,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.03 : 11,209.19 = 4,586.49 : x
  2. Step 2: Convert to fraction form
    8,124.03/11,209.19 = 4,586.49/x
  3. Step 3: Cross multiply
    8,124.03x = 11,209.19 × 4,586.49
  4. Step 4: Simplify right side
    8,124.03x = 51,410,814.91
  5. Step 5: Solve for x
    x = 51,410,814.91/8,124.03
  6. Step 6: Final answer
    x = 6,328.24

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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.