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Finding the Fourth Proportional to 10,496.36, 14,478.82 and 6,305.64

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Solution

The fourth proportional to 10,496.36, 14,478.82 and 6,305.64 is: 8,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.36 : 14,478.82 = 6,305.64 : x
  2. Step 2: Convert to fraction form
    10,496.36/14,478.82 = 6,305.64/x
  3. Step 3: Cross multiply
    10,496.36x = 14,478.82 × 6,305.64
  4. Step 4: Simplify right side
    10,496.36x = 91,298,226.54
  5. Step 5: Solve for x
    x = 91,298,226.54/10,496.36
  6. Step 6: Final answer
    x = 8,698.08

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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.