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Finding the Fourth Proportional to 11,926.74, 16,460.97 and 6,890.11

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Solution

The fourth proportional to 11,926.74, 16,460.97 and 6,890.11 is: 9,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.74 : 16,460.97 = 6,890.11 : x
  2. Step 2: Convert to fraction form
    11,926.74/16,460.97 = 6,890.11/x
  3. Step 3: Cross multiply
    11,926.74x = 16,460.97 × 6,890.11
  4. Step 4: Simplify right side
    11,926.74x = 113,417,958.37
  5. Step 5: Solve for x
    x = 113,417,958.37/11,926.74
  6. Step 6: Final answer
    x = 9,509.55

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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.