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Finding the Fourth Proportional to 10,668.94, 16,002.95 and 3,649.58

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Solution

The fourth proportional to 10,668.94, 16,002.95 and 3,649.58 is: 5,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.94 : 16,002.95 = 3,649.58 : x
  2. Step 2: Convert to fraction form
    10,668.94/16,002.95 = 3,649.58/x
  3. Step 3: Cross multiply
    10,668.94x = 16,002.95 × 3,649.58
  4. Step 4: Simplify right side
    10,668.94x = 58,404,088.94
  5. Step 5: Solve for x
    x = 58,404,088.94/10,668.94
  6. Step 6: Final answer
    x = 5,474.22

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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.