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Finding the Fourth Proportional to 12,556.80, 17,328.56 and 6,891.47

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Solution

The fourth proportional to 12,556.80, 17,328.56 and 6,891.47 is: 9,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556.80 : 17,328.56 = 6,891.47 : x
  2. Step 2: Convert to fraction form
    12,556.80/17,328.56 = 6,891.47/x
  3. Step 3: Cross multiply
    12,556.80x = 17,328.56 × 6,891.47
  4. Step 4: Simplify right side
    12,556.80x = 119,419,130.28
  5. Step 5: Solve for x
    x = 119,419,130.28/12,556.80
  6. Step 6: Final answer
    x = 9,510.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.