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Finding the Fourth Proportional to 11,241.98, 15,475.82 and 9,660.86

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Solution

The fourth proportional to 11,241.98, 15,475.82 and 9,660.86 is: 13,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.98 : 15,475.82 = 9,660.86 : x
  2. Step 2: Convert to fraction form
    11,241.98/15,475.82 = 9,660.86/x
  3. Step 3: Cross multiply
    11,241.98x = 15,475.82 × 9,660.86
  4. Step 4: Simplify right side
    11,241.98x = 149,509,730.41
  5. Step 5: Solve for x
    x = 149,509,730.41/11,241.98
  6. Step 6: Final answer
    x = 13,299.23

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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.