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Finding the Fourth Proportional to 11,930.78, 16,466.27 and 8,584.67

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Solution

The fourth proportional to 11,930.78, 16,466.27 and 8,584.67 is: 11,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.78 : 16,466.27 = 8,584.67 : x
  2. Step 2: Convert to fraction form
    11,930.78/16,466.27 = 8,584.67/x
  3. Step 3: Cross multiply
    11,930.78x = 16,466.27 × 8,584.67
  4. Step 4: Simplify right side
    11,930.78x = 141,357,494.08
  5. Step 5: Solve for x
    x = 141,357,494.08/11,930.78
  6. Step 6: Final answer
    x = 11,848.14

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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.