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Finding the Fourth Proportional to 11,577.50, 17,367.06 and 4,652

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Solution

The fourth proportional to 11,577.50, 17,367.06 and 4,652 is: 6,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.50 : 17,367.06 = 4,652 : x
  2. Step 2: Convert to fraction form
    11,577.50/17,367.06 = 4,652/x
  3. Step 3: Cross multiply
    11,577.50x = 17,367.06 × 4,652
  4. Step 4: Simplify right side
    11,577.50x = 80,791,563.12
  5. Step 5: Solve for x
    x = 80,791,563.12/11,577.50
  6. Step 6: Final answer
    x = 6,978.33

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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.