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Finding the Fourth Proportional to 11,143.96, 16,695.44 and 6,983.19

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Solution

The fourth proportional to 11,143.96, 16,695.44 and 6,983.19 is: 10,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.96 : 16,695.44 = 6,983.19 : x
  2. Step 2: Convert to fraction form
    11,143.96/16,695.44 = 6,983.19/x
  3. Step 3: Cross multiply
    11,143.96x = 16,695.44 × 6,983.19
  4. Step 4: Simplify right side
    11,143.96x = 116,587,483.53
  5. Step 5: Solve for x
    x = 116,587,483.53/11,143.96
  6. Step 6: Final answer
    x = 10,461.94

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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.