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Finding the Fourth Proportional to 11,666.46, 17,493.20 and 6,924.55

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Solution

The fourth proportional to 11,666.46, 17,493.20 and 6,924.55 is: 10,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.46 : 17,493.20 = 6,924.55 : x
  2. Step 2: Convert to fraction form
    11,666.46/17,493.20 = 6,924.55/x
  3. Step 3: Cross multiply
    11,666.46x = 17,493.20 × 6,924.55
  4. Step 4: Simplify right side
    11,666.46x = 121,132,538.06
  5. Step 5: Solve for x
    x = 121,132,538.06/11,666.46
  6. Step 6: Final answer
    x = 10,382.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.