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Finding the Fourth Proportional to 10,016, 13,822.72 and 5,600

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Solution

The fourth proportional to 10,016, 13,822.72 and 5,600 is: 7,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016 : 13,822.72 = 5,600 : x
  2. Step 2: Convert to fraction form
    10,016/13,822.72 = 5,600/x
  3. Step 3: Cross multiply
    10,016x = 13,822.72 × 5,600
  4. Step 4: Simplify right side
    10,016x = 77,407,232
  5. Step 5: Solve for x
    x = 77,407,232/10,016
  6. Step 6: Final answer
    x = 7,728.36

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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.