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Finding the Fourth Proportional to 11,522.61, 17,284.12 and 3,624.96

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Solution

The fourth proportional to 11,522.61, 17,284.12 and 3,624.96 is: 5,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.61 : 17,284.12 = 3,624.96 : x
  2. Step 2: Convert to fraction form
    11,522.61/17,284.12 = 3,624.96/x
  3. Step 3: Cross multiply
    11,522.61x = 17,284.12 × 3,624.96
  4. Step 4: Simplify right side
    11,522.61x = 62,654,234.57
  5. Step 5: Solve for x
    x = 62,654,234.57/11,522.61
  6. Step 6: Final answer
    x = 5,437.50

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Why These Related Problems?

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