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Finding the Fourth Proportional to 11,841.88, 16,341.71 and 6,536.69

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Solution

The fourth proportional to 11,841.88, 16,341.71 and 6,536.69 is: 9,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.88 : 16,341.71 = 6,536.69 : x
  2. Step 2: Convert to fraction form
    11,841.88/16,341.71 = 6,536.69/x
  3. Step 3: Cross multiply
    11,841.88x = 16,341.71 × 6,536.69
  4. Step 4: Simplify right side
    11,841.88x = 106,820,659.66
  5. Step 5: Solve for x
    x = 106,820,659.66/11,841.88
  6. Step 6: Final answer
    x = 9,020.59

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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.