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Finding the Fourth Proportional to 8,696.99, 13,033.68 and 4,006.68

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Solution

The fourth proportional to 8,696.99, 13,033.68 and 4,006.68 is: 6,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.99 : 13,033.68 = 4,006.68 : x
  2. Step 2: Convert to fraction form
    8,696.99/13,033.68 = 4,006.68/x
  3. Step 3: Cross multiply
    8,696.99x = 13,033.68 × 4,006.68
  4. Step 4: Simplify right side
    8,696.99x = 52,221,784.98
  5. Step 5: Solve for x
    x = 52,221,784.98/8,696.99
  6. Step 6: Final answer
    x = 6,004.58

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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.