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Finding the Fourth Proportional to 8,556.25, 12,834.84 and 2,713.32

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Solution

The fourth proportional to 8,556.25, 12,834.84 and 2,713.32 is: 4,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556.25 : 12,834.84 = 2,713.32 : x
  2. Step 2: Convert to fraction form
    8,556.25/12,834.84 = 2,713.32/x
  3. Step 3: Cross multiply
    8,556.25x = 12,834.84 × 2,713.32
  4. Step 4: Simplify right side
    8,556.25x = 34,825,028.07
  5. Step 5: Solve for x
    x = 34,825,028.07/8,556.25
  6. Step 6: Final answer
    x = 4,070.13

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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.