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Finding the Fourth Proportional to 11,668.71, 17,507.16 and 5,095.41

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Solution

The fourth proportional to 11,668.71, 17,507.16 and 5,095.41 is: 7,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.71 : 17,507.16 = 5,095.41 : x
  2. Step 2: Convert to fraction form
    11,668.71/17,507.16 = 5,095.41/x
  3. Step 3: Cross multiply
    11,668.71x = 17,507.16 × 5,095.41
  4. Step 4: Simplify right side
    11,668.71x = 89,206,106.81
  5. Step 5: Solve for x
    x = 89,206,106.81/11,668.71
  6. Step 6: Final answer
    x = 7,644.90

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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.