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Finding the Fourth Proportional to 11,594.54, 17,389.17 and 3,275.42

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Solution

The fourth proportional to 11,594.54, 17,389.17 and 3,275.42 is: 4,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.54 : 17,389.17 = 3,275.42 : x
  2. Step 2: Convert to fraction form
    11,594.54/17,389.17 = 3,275.42/x
  3. Step 3: Cross multiply
    11,594.54x = 17,389.17 × 3,275.42
  4. Step 4: Simplify right side
    11,594.54x = 56,956,835.20
  5. Step 5: Solve for x
    x = 56,956,835.20/11,594.54
  6. Step 6: Final answer
    x = 4,912.38

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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.