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Finding the Fourth Proportional to 11,325.37, 15,630.86 and 6,609.64

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Solution

The fourth proportional to 11,325.37, 15,630.86 and 6,609.64 is: 9,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,325.37 : 15,630.86 = 6,609.64 : x
  2. Step 2: Convert to fraction form
    11,325.37/15,630.86 = 6,609.64/x
  3. Step 3: Cross multiply
    11,325.37x = 15,630.86 × 6,609.64
  4. Step 4: Simplify right side
    11,325.37x = 103,314,357.49
  5. Step 5: Solve for x
    x = 103,314,357.49/11,325.37
  6. Step 6: Final answer
    x = 9,122.38

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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.