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Finding the Fourth Proportional to 8,428.24, 12,586.46 and 8,336.71

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Solution

The fourth proportional to 8,428.24, 12,586.46 and 8,336.71 is: 12,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.24 : 12,586.46 = 8,336.71 : x
  2. Step 2: Convert to fraction form
    8,428.24/12,586.46 = 8,336.71/x
  3. Step 3: Cross multiply
    8,428.24x = 12,586.46 × 8,336.71
  4. Step 4: Simplify right side
    8,428.24x = 104,929,666.95
  5. Step 5: Solve for x
    x = 104,929,666.95/8,428.24
  6. Step 6: Final answer
    x = 12,449.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.