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Finding the Fourth Proportional to 8,698.92, 13,048.20 and 8,021.70

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Solution

The fourth proportional to 8,698.92, 13,048.20 and 8,021.70 is: 12,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.92 : 13,048.20 = 8,021.70 : x
  2. Step 2: Convert to fraction form
    8,698.92/13,048.20 = 8,021.70/x
  3. Step 3: Cross multiply
    8,698.92x = 13,048.20 × 8,021.70
  4. Step 4: Simplify right side
    8,698.92x = 104,668,745.94
  5. Step 5: Solve for x
    x = 104,668,745.94/8,698.92
  6. Step 6: Final answer
    x = 12,032.38

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