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Finding the Fourth Proportional to 11,171.84, 15,415.58 and 6,694.56

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Solution

The fourth proportional to 11,171.84, 15,415.58 and 6,694.56 is: 9,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.84 : 15,415.58 = 6,694.56 : x
  2. Step 2: Convert to fraction form
    11,171.84/15,415.58 = 6,694.56/x
  3. Step 3: Cross multiply
    11,171.84x = 15,415.58 × 6,694.56
  4. Step 4: Simplify right side
    11,171.84x = 103,200,541.98
  5. Step 5: Solve for x
    x = 103,200,541.98/11,171.84
  6. Step 6: Final answer
    x = 9,237.56

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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.