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Finding the Fourth Proportional to 10,245.36, 14,138.64 and 6,464.58

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Solution

The fourth proportional to 10,245.36, 14,138.64 and 6,464.58 is: 8,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.36 : 14,138.64 = 6,464.58 : x
  2. Step 2: Convert to fraction form
    10,245.36/14,138.64 = 6,464.58/x
  3. Step 3: Cross multiply
    10,245.36x = 14,138.64 × 6,464.58
  4. Step 4: Simplify right side
    10,245.36x = 91,400,369.37
  5. Step 5: Solve for x
    x = 91,400,369.37/10,245.36
  6. Step 6: Final answer
    x = 8,921.15

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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.