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Finding the Fourth Proportional to 10,600.64, 14,629.14 and 5,885.36

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Solution

The fourth proportional to 10,600.64, 14,629.14 and 5,885.36 is: 8,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.64 : 14,629.14 = 5,885.36 : x
  2. Step 2: Convert to fraction form
    10,600.64/14,629.14 = 5,885.36/x
  3. Step 3: Cross multiply
    10,600.64x = 14,629.14 × 5,885.36
  4. Step 4: Simplify right side
    10,600.64x = 86,097,755.39
  5. Step 5: Solve for x
    x = 86,097,755.39/10,600.64
  6. Step 6: Final answer
    x = 8,121.94

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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.