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Finding the Fourth Proportional to 11,654.68, 17,471.52 and 4,253.94

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Solution

The fourth proportional to 11,654.68, 17,471.52 and 4,253.94 is: 6,377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.68 : 17,471.52 = 4,253.94 : x
  2. Step 2: Convert to fraction form
    11,654.68/17,471.52 = 4,253.94/x
  3. Step 3: Cross multiply
    11,654.68x = 17,471.52 × 4,253.94
  4. Step 4: Simplify right side
    11,654.68x = 74,322,776.52
  5. Step 5: Solve for x
    x = 74,322,776.52/11,654.68
  6. Step 6: Final answer
    x = 6,377.08

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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.