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Finding the Fourth Proportional to 11,695.84, 17,532.96 and 5,847.36

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Solution

The fourth proportional to 11,695.84, 17,532.96 and 5,847.36 is: 8,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.84 : 17,532.96 = 5,847.36 : x
  2. Step 2: Convert to fraction form
    11,695.84/17,532.96 = 5,847.36/x
  3. Step 3: Cross multiply
    11,695.84x = 17,532.96 × 5,847.36
  4. Step 4: Simplify right side
    11,695.84x = 102,521,528.99
  5. Step 5: Solve for x
    x = 102,521,528.99/11,695.84
  6. Step 6: Final answer
    x = 8,765.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.