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Finding the Fourth Proportional to 11,576.61, 17,364.89 and 3,257.46

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Solution

The fourth proportional to 11,576.61, 17,364.89 and 3,257.46 is: 4,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.61 : 17,364.89 = 3,257.46 : x
  2. Step 2: Convert to fraction form
    11,576.61/17,364.89 = 3,257.46/x
  3. Step 3: Cross multiply
    11,576.61x = 17,364.89 × 3,257.46
  4. Step 4: Simplify right side
    11,576.61x = 56,565,442.72
  5. Step 5: Solve for x
    x = 56,565,442.72/11,576.61
  6. Step 6: Final answer
    x = 4,886.18

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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.