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Finding the Fourth Proportional to 11,973.63, 17,960.94 and 4,578.63

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Solution

The fourth proportional to 11,973.63, 17,960.94 and 4,578.63 is: 6,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.63 : 17,960.94 = 4,578.63 : x
  2. Step 2: Convert to fraction form
    11,973.63/17,960.94 = 4,578.63/x
  3. Step 3: Cross multiply
    11,973.63x = 17,960.94 × 4,578.63
  4. Step 4: Simplify right side
    11,973.63x = 82,236,498.71
  5. Step 5: Solve for x
    x = 82,236,498.71/11,973.63
  6. Step 6: Final answer
    x = 6,868.13

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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.