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Finding the Fourth Proportional to 11,534.50, 17,289.45 and 4,961.20

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Solution

The fourth proportional to 11,534.50, 17,289.45 and 4,961.20 is: 7,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.50 : 17,289.45 = 4,961.20 : x
  2. Step 2: Convert to fraction form
    11,534.50/17,289.45 = 4,961.20/x
  3. Step 3: Cross multiply
    11,534.50x = 17,289.45 × 4,961.20
  4. Step 4: Simplify right side
    11,534.50x = 85,776,419.34
  5. Step 5: Solve for x
    x = 85,776,419.34/11,534.50
  6. Step 6: Final answer
    x = 7,436.51

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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.