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Finding the Fourth Proportional to 8,428.36, 12,639.26 and 3,160.50

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Solution

The fourth proportional to 8,428.36, 12,639.26 and 3,160.50 is: 4,739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.36 : 12,639.26 = 3,160.50 : x
  2. Step 2: Convert to fraction form
    8,428.36/12,639.26 = 3,160.50/x
  3. Step 3: Cross multiply
    8,428.36x = 12,639.26 × 3,160.50
  4. Step 4: Simplify right side
    8,428.36x = 39,946,404.93
  5. Step 5: Solve for x
    x = 39,946,404.93/8,428.36
  6. Step 6: Final answer
    x = 4,739.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.