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Finding the Fourth Proportional to 11,886.04, 17,817.30 and 5,635

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Solution

The fourth proportional to 11,886.04, 17,817.30 and 5,635 is: 8,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.04 : 17,817.30 = 5,635 : x
  2. Step 2: Convert to fraction form
    11,886.04/17,817.30 = 5,635/x
  3. Step 3: Cross multiply
    11,886.04x = 17,817.30 × 5,635
  4. Step 4: Simplify right side
    11,886.04x = 100,400,485.50
  5. Step 5: Solve for x
    x = 100,400,485.50/11,886.04
  6. Step 6: Final answer
    x = 8,446.92

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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.