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Finding the Fourth Proportional to 12,579.68, 17,359.24 and 7,541.38

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Solution

The fourth proportional to 12,579.68, 17,359.24 and 7,541.38 is: 10,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,579.68 : 17,359.24 = 7,541.38 : x
  2. Step 2: Convert to fraction form
    12,579.68/17,359.24 = 7,541.38/x
  3. Step 3: Cross multiply
    12,579.68x = 17,359.24 × 7,541.38
  4. Step 4: Simplify right side
    12,579.68x = 130,912,625.35
  5. Step 5: Solve for x
    x = 130,912,625.35/12,579.68
  6. Step 6: Final answer
    x = 10,406.67

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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.