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Finding the Fourth Proportional to 11,162.82, 15,384.38 and 10,842.96

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Solution

The fourth proportional to 11,162.82, 15,384.38 and 10,842.96 is: 14,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.82 : 15,384.38 = 10,842.96 : x
  2. Step 2: Convert to fraction form
    11,162.82/15,384.38 = 10,842.96/x
  3. Step 3: Cross multiply
    11,162.82x = 15,384.38 × 10,842.96
  4. Step 4: Simplify right side
    11,162.82x = 166,812,216.96
  5. Step 5: Solve for x
    x = 166,812,216.96/11,162.82
  6. Step 6: Final answer
    x = 14,943.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.