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Finding the Fourth Proportional to 7,668.58, 11,496.58 and 3,971.86

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Solution

The fourth proportional to 7,668.58, 11,496.58 and 3,971.86 is: 5,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.58 : 11,496.58 = 3,971.86 : x
  2. Step 2: Convert to fraction form
    7,668.58/11,496.58 = 3,971.86/x
  3. Step 3: Cross multiply
    7,668.58x = 11,496.58 × 3,971.86
  4. Step 4: Simplify right side
    7,668.58x = 45,662,806.24
  5. Step 5: Solve for x
    x = 45,662,806.24/7,668.58
  6. Step 6: Final answer
    x = 5,954.53

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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.