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Finding the Fourth Proportional to 10,608, 15,912.04 and 3,588.06

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Solution

The fourth proportional to 10,608, 15,912.04 and 3,588.06 is: 5,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608 : 15,912.04 = 3,588.06 : x
  2. Step 2: Convert to fraction form
    10,608/15,912.04 = 3,588.06/x
  3. Step 3: Cross multiply
    10,608x = 15,912.04 × 3,588.06
  4. Step 4: Simplify right side
    10,608x = 57,093,354.24
  5. Step 5: Solve for x
    x = 57,093,354.24/10,608
  6. Step 6: Final answer
    x = 5,382.10

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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.