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Finding the Fourth Proportional to 12,556.69, 17,320.44 and 7,778.91

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Solution

The fourth proportional to 12,556.69, 17,320.44 and 7,778.91 is: 10,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556.69 : 17,320.44 = 7,778.91 : x
  2. Step 2: Convert to fraction form
    12,556.69/17,320.44 = 7,778.91/x
  3. Step 3: Cross multiply
    12,556.69x = 17,320.44 × 7,778.91
  4. Step 4: Simplify right side
    12,556.69x = 134,734,143.92
  5. Step 5: Solve for x
    x = 134,734,143.92/12,556.69
  6. Step 6: Final answer
    x = 10,730.07

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