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Finding the Fourth Proportional to 11,842.10, 16,341.70 and 6,536.80

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Solution

The fourth proportional to 11,842.10, 16,341.70 and 6,536.80 is: 9,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.10 : 16,341.70 = 6,536.80 : x
  2. Step 2: Convert to fraction form
    11,842.10/16,341.70 = 6,536.80/x
  3. Step 3: Cross multiply
    11,842.10x = 16,341.70 × 6,536.80
  4. Step 4: Simplify right side
    11,842.10x = 106,822,424.56
  5. Step 5: Solve for x
    x = 106,822,424.56/11,842.10
  6. Step 6: Final answer
    x = 9,020.56

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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.