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Finding the Fourth Proportional to 11,666.33, 16,100.92 and 7,365.67

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Solution

The fourth proportional to 11,666.33, 16,100.92 and 7,365.67 is: 10,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.33 : 16,100.92 = 7,365.67 : x
  2. Step 2: Convert to fraction form
    11,666.33/16,100.92 = 7,365.67/x
  3. Step 3: Cross multiply
    11,666.33x = 16,100.92 × 7,365.67
  4. Step 4: Simplify right side
    11,666.33x = 118,594,063.42
  5. Step 5: Solve for x
    x = 118,594,063.42/11,666.33
  6. Step 6: Final answer
    x = 10,165.50

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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.