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Finding the Fourth Proportional to 7,668.68, 11,497.16 and 3,505.80

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Solution

The fourth proportional to 7,668.68, 11,497.16 and 3,505.80 is: 5,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.68 : 11,497.16 = 3,505.80 : x
  2. Step 2: Convert to fraction form
    7,668.68/11,497.16 = 3,505.80/x
  3. Step 3: Cross multiply
    7,668.68x = 11,497.16 × 3,505.80
  4. Step 4: Simplify right side
    7,668.68x = 40,306,743.53
  5. Step 5: Solve for x
    x = 40,306,743.53/7,668.68
  6. Step 6: Final answer
    x = 5,256.02

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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.