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Finding the Fourth Proportional to 11,841.67, 16,340.70 and 6,535.36

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Solution

The fourth proportional to 11,841.67, 16,340.70 and 6,535.36 is: 9,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.67 : 16,340.70 = 6,535.36 : x
  2. Step 2: Convert to fraction form
    11,841.67/16,340.70 = 6,535.36/x
  3. Step 3: Cross multiply
    11,841.67x = 16,340.70 × 6,535.36
  4. Step 4: Simplify right side
    11,841.67x = 106,792,357.15
  5. Step 5: Solve for x
    x = 106,792,357.15/11,841.67
  6. Step 6: Final answer
    x = 9,018.35

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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.