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Finding the Fourth Proportional to 11,860.78, 16,367.85 and 7,669

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Solution

The fourth proportional to 11,860.78, 16,367.85 and 7,669 is: 10,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.78 : 16,367.85 = 7,669 : x
  2. Step 2: Convert to fraction form
    11,860.78/16,367.85 = 7,669/x
  3. Step 3: Cross multiply
    11,860.78x = 16,367.85 × 7,669
  4. Step 4: Simplify right side
    11,860.78x = 125,525,041.65
  5. Step 5: Solve for x
    x = 125,525,041.65/11,860.78
  6. Step 6: Final answer
    x = 10,583.20

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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.