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Finding the Fourth Proportional to 8,410.96, 11,606.25 and 4,873.51

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Solution

The fourth proportional to 8,410.96, 11,606.25 and 4,873.51 is: 6,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.96 : 11,606.25 = 4,873.51 : x
  2. Step 2: Convert to fraction form
    8,410.96/11,606.25 = 4,873.51/x
  3. Step 3: Cross multiply
    8,410.96x = 11,606.25 × 4,873.51
  4. Step 4: Simplify right side
    8,410.96x = 56,563,175.44
  5. Step 5: Solve for x
    x = 56,563,175.44/8,410.96
  6. Step 6: Final answer
    x = 6,724.94

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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.