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Finding the Fourth Proportional to 13,463.08, 18,579.18 and 7,873

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Solution

The fourth proportional to 13,463.08, 18,579.18 and 7,873 is: 10,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.08 : 18,579.18 = 7,873 : x
  2. Step 2: Convert to fraction form
    13,463.08/18,579.18 = 7,873/x
  3. Step 3: Cross multiply
    13,463.08x = 18,579.18 × 7,873
  4. Step 4: Simplify right side
    13,463.08x = 146,273,884.14
  5. Step 5: Solve for x
    x = 146,273,884.14/13,463.08
  6. Step 6: Final answer
    x = 10,864.82

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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.