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Finding the Fourth Proportional to 11,536.31, 15,920.94 and 8,698.68

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Solution

The fourth proportional to 11,536.31, 15,920.94 and 8,698.68 is: 12,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.31 : 15,920.94 = 8,698.68 : x
  2. Step 2: Convert to fraction form
    11,536.31/15,920.94 = 8,698.68/x
  3. Step 3: Cross multiply
    11,536.31x = 15,920.94 × 8,698.68
  4. Step 4: Simplify right side
    11,536.31x = 138,491,162.36
  5. Step 5: Solve for x
    x = 138,491,162.36/11,536.31
  6. Step 6: Final answer
    x = 12,004.81

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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.