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Finding the Fourth Proportional to 7,324.11, 10,986.06 and 1,777.50

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Solution

The fourth proportional to 7,324.11, 10,986.06 and 1,777.50 is: 2,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.11 : 10,986.06 = 1,777.50 : x
  2. Step 2: Convert to fraction form
    7,324.11/10,986.06 = 1,777.50/x
  3. Step 3: Cross multiply
    7,324.11x = 10,986.06 × 1,777.50
  4. Step 4: Simplify right side
    7,324.11x = 19,527,721.65
  5. Step 5: Solve for x
    x = 19,527,721.65/7,324.11
  6. Step 6: Final answer
    x = 2,666.22

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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.