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Finding the Fourth Proportional to 11,973.46, 17,960.14 and 3,653.45

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Solution

The fourth proportional to 11,973.46, 17,960.14 and 3,653.45 is: 5,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.46 : 17,960.14 = 3,653.45 : x
  2. Step 2: Convert to fraction form
    11,973.46/17,960.14 = 3,653.45/x
  3. Step 3: Cross multiply
    11,973.46x = 17,960.14 × 3,653.45
  4. Step 4: Simplify right side
    11,973.46x = 65,616,435.05
  5. Step 5: Solve for x
    x = 65,616,435.05/11,973.46
  6. Step 6: Final answer
    x = 5,480.16

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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.