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Finding the Fourth Proportional to 10,668.51, 16,002.90 and 3,743.01

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Solution

The fourth proportional to 10,668.51, 16,002.90 and 3,743.01 is: 5,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.51 : 16,002.90 = 3,743.01 : x
  2. Step 2: Convert to fraction form
    10,668.51/16,002.90 = 3,743.01/x
  3. Step 3: Cross multiply
    10,668.51x = 16,002.90 × 3,743.01
  4. Step 4: Simplify right side
    10,668.51x = 59,899,014.73
  5. Step 5: Solve for x
    x = 59,899,014.73/10,668.51
  6. Step 6: Final answer
    x = 5,614.56

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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.