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Finding the Fourth Proportional to 11,841.36, 16,339.32 and 6,536.40

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Solution

The fourth proportional to 11,841.36, 16,339.32 and 6,536.40 is: 9,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.36 : 16,339.32 = 6,536.40 : x
  2. Step 2: Convert to fraction form
    11,841.36/16,339.32 = 6,536.40/x
  3. Step 3: Cross multiply
    11,841.36x = 16,339.32 × 6,536.40
  4. Step 4: Simplify right side
    11,841.36x = 106,800,331.25
  5. Step 5: Solve for x
    x = 106,800,331.25/11,841.36
  6. Step 6: Final answer
    x = 9,019.26

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