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Finding the Fourth Proportional to 10,016.04, 13,822.22 and 5,478.84

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Solution

The fourth proportional to 10,016.04, 13,822.22 and 5,478.84 is: 7,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.04 : 13,822.22 = 5,478.84 : x
  2. Step 2: Convert to fraction form
    10,016.04/13,822.22 = 5,478.84/x
  3. Step 3: Cross multiply
    10,016.04x = 13,822.22 × 5,478.84
  4. Step 4: Simplify right side
    10,016.04x = 75,729,731.82
  5. Step 5: Solve for x
    x = 75,729,731.82/10,016.04
  6. Step 6: Final answer
    x = 7,560.85

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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.