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Finding the Fourth Proportional to 8,696.94, 13,042.71 and 2,852.25

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Solution

The fourth proportional to 8,696.94, 13,042.71 and 2,852.25 is: 4,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.94 : 13,042.71 = 2,852.25 : x
  2. Step 2: Convert to fraction form
    8,696.94/13,042.71 = 2,852.25/x
  3. Step 3: Cross multiply
    8,696.94x = 13,042.71 × 2,852.25
  4. Step 4: Simplify right side
    8,696.94x = 37,201,069.60
  5. Step 5: Solve for x
    x = 37,201,069.60/8,696.94
  6. Step 6: Final answer
    x = 4,277.49

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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.