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Finding the Fourth Proportional to 11,471.64, 17,205.66 and 3,152.28

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Solution

The fourth proportional to 11,471.64, 17,205.66 and 3,152.28 is: 4,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.64 : 17,205.66 = 3,152.28 : x
  2. Step 2: Convert to fraction form
    11,471.64/17,205.66 = 3,152.28/x
  3. Step 3: Cross multiply
    11,471.64x = 17,205.66 × 3,152.28
  4. Step 4: Simplify right side
    11,471.64x = 54,237,057.90
  5. Step 5: Solve for x
    x = 54,237,057.90/11,471.64
  6. Step 6: Final answer
    x = 4,727.93

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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.