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Finding the Fourth Proportional to 10,076.64, 13,908.02 and 5,601.96

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Solution

The fourth proportional to 10,076.64, 13,908.02 and 5,601.96 is: 7,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.64 : 13,908.02 = 5,601.96 : x
  2. Step 2: Convert to fraction form
    10,076.64/13,908.02 = 5,601.96/x
  3. Step 3: Cross multiply
    10,076.64x = 13,908.02 × 5,601.96
  4. Step 4: Simplify right side
    10,076.64x = 77,912,171.72
  5. Step 5: Solve for x
    x = 77,912,171.72/10,076.64
  6. Step 6: Final answer
    x = 7,731.96

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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.