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Finding the Fourth Proportional to 11,171.76, 15,417.50 and 6,694.67

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Solution

The fourth proportional to 11,171.76, 15,417.50 and 6,694.67 is: 9,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.76 : 15,417.50 = 6,694.67 : x
  2. Step 2: Convert to fraction form
    11,171.76/15,417.50 = 6,694.67/x
  3. Step 3: Cross multiply
    11,171.76x = 15,417.50 × 6,694.67
  4. Step 4: Simplify right side
    11,171.76x = 103,215,074.73
  5. Step 5: Solve for x
    x = 103,215,074.73/11,171.76
  6. Step 6: Final answer
    x = 9,238.93

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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.