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Finding the Fourth Proportional to 11,841.39, 16,341.12 and 6,536.16

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Solution

The fourth proportional to 11,841.39, 16,341.12 and 6,536.16 is: 9,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.39 : 16,341.12 = 6,536.16 : x
  2. Step 2: Convert to fraction form
    11,841.39/16,341.12 = 6,536.16/x
  3. Step 3: Cross multiply
    11,841.39x = 16,341.12 × 6,536.16
  4. Step 4: Simplify right side
    11,841.39x = 106,808,174.90
  5. Step 5: Solve for x
    x = 106,808,174.90/11,841.39
  6. Step 6: Final answer
    x = 9,019.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.