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Finding the Fourth Proportional to 11,576.89, 15,972.36 and 7,098.40

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Solution

The fourth proportional to 11,576.89, 15,972.36 and 7,098.40 is: 9,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.89 : 15,972.36 = 7,098.40 : x
  2. Step 2: Convert to fraction form
    11,576.89/15,972.36 = 7,098.40/x
  3. Step 3: Cross multiply
    11,576.89x = 15,972.36 × 7,098.40
  4. Step 4: Simplify right side
    11,576.89x = 113,378,200.22
  5. Step 5: Solve for x
    x = 113,378,200.22/11,576.89
  6. Step 6: Final answer
    x = 9,793.49

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