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Finding the Fourth Proportional to 11,561.10, 17,341.92 and 4,166.16

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Solution

The fourth proportional to 11,561.10, 17,341.92 and 4,166.16 is: 6,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.10 : 17,341.92 = 4,166.16 : x
  2. Step 2: Convert to fraction form
    11,561.10/17,341.92 = 4,166.16/x
  3. Step 3: Cross multiply
    11,561.10x = 17,341.92 × 4,166.16
  4. Step 4: Simplify right side
    11,561.10x = 72,249,213.43
  5. Step 5: Solve for x
    x = 72,249,213.43/11,561.10
  6. Step 6: Final answer
    x = 6,249.34

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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.