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Finding the Fourth Proportional to 10,325.94, 14,249.78 and 5,610.32

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Solution

The fourth proportional to 10,325.94, 14,249.78 and 5,610.32 is: 7,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.94 : 14,249.78 = 5,610.32 : x
  2. Step 2: Convert to fraction form
    10,325.94/14,249.78 = 5,610.32/x
  3. Step 3: Cross multiply
    10,325.94x = 14,249.78 × 5,610.32
  4. Step 4: Simplify right side
    10,325.94x = 79,945,825.73
  5. Step 5: Solve for x
    x = 79,945,825.73/10,325.94
  6. Step 6: Final answer
    x = 7,742.23

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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.