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Finding the Fourth Proportional to 13,898.76, 19,180.46 and 7,611

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Solution

The fourth proportional to 13,898.76, 19,180.46 and 7,611 is: 10,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.76 : 19,180.46 = 7,611 : x
  2. Step 2: Convert to fraction form
    13,898.76/19,180.46 = 7,611/x
  3. Step 3: Cross multiply
    13,898.76x = 19,180.46 × 7,611
  4. Step 4: Simplify right side
    13,898.76x = 145,982,481.06
  5. Step 5: Solve for x
    x = 145,982,481.06/13,898.76
  6. Step 6: Final answer
    x = 10,503.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.