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Finding the Fourth Proportional to 10,993.93, 16,492.65 and 3,973.23

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Solution

The fourth proportional to 10,993.93, 16,492.65 and 3,973.23 is: 5,960.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.93 : 16,492.65 = 3,973.23 : x
  2. Step 2: Convert to fraction form
    10,993.93/16,492.65 = 3,973.23/x
  3. Step 3: Cross multiply
    10,993.93x = 16,492.65 × 3,973.23
  4. Step 4: Simplify right side
    10,993.93x = 65,529,146.16
  5. Step 5: Solve for x
    x = 65,529,146.16/10,993.93
  6. Step 6: Final answer
    x = 5,960.48

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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.