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Finding the Fourth Proportional to 11,913.74, 16,440.86 and 6,536.07

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Solution

The fourth proportional to 11,913.74, 16,440.86 and 6,536.07 is: 9,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.74 : 16,440.86 = 6,536.07 : x
  2. Step 2: Convert to fraction form
    11,913.74/16,440.86 = 6,536.07/x
  3. Step 3: Cross multiply
    11,913.74x = 16,440.86 × 6,536.07
  4. Step 4: Simplify right side
    11,913.74x = 107,458,579.14
  5. Step 5: Solve for x
    x = 107,458,579.14/11,913.74
  6. Step 6: Final answer
    x = 9,019.72

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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.