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Finding the Fourth Proportional to 11,415.88, 15,754.51 and 6,938.90

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Solution

The fourth proportional to 11,415.88, 15,754.51 and 6,938.90 is: 9,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.88 : 15,754.51 = 6,938.90 : x
  2. Step 2: Convert to fraction form
    11,415.88/15,754.51 = 6,938.90/x
  3. Step 3: Cross multiply
    11,415.88x = 15,754.51 × 6,938.90
  4. Step 4: Simplify right side
    11,415.88x = 109,318,969.44
  5. Step 5: Solve for x
    x = 109,318,969.44/11,415.88
  6. Step 6: Final answer
    x = 9,576.05

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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.