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Finding the Fourth Proportional to 11,827, 17,740.50 and 6,633.28

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Solution

The fourth proportional to 11,827, 17,740.50 and 6,633.28 is: 9,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827 : 17,740.50 = 6,633.28 : x
  2. Step 2: Convert to fraction form
    11,827/17,740.50 = 6,633.28/x
  3. Step 3: Cross multiply
    11,827x = 17,740.50 × 6,633.28
  4. Step 4: Simplify right side
    11,827x = 117,677,703.84
  5. Step 5: Solve for x
    x = 117,677,703.84/11,827
  6. Step 6: Final answer
    x = 9,949.92

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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.