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Finding the Fourth Proportional to 11,814, 17,721 and 4,888.68

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Solution

The fourth proportional to 11,814, 17,721 and 4,888.68 is: 7,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814 : 17,721 = 4,888.68 : x
  2. Step 2: Convert to fraction form
    11,814/17,721 = 4,888.68/x
  3. Step 3: Cross multiply
    11,814x = 17,721 × 4,888.68
  4. Step 4: Simplify right side
    11,814x = 86,632,298.28
  5. Step 5: Solve for x
    x = 86,632,298.28/11,814
  6. Step 6: Final answer
    x = 7,333.02

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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.