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Finding the Fourth Proportional to 10,103.54, 13,942.13 and 6,326.51

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Solution

The fourth proportional to 10,103.54, 13,942.13 and 6,326.51 is: 8,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.54 : 13,942.13 = 6,326.51 : x
  2. Step 2: Convert to fraction form
    10,103.54/13,942.13 = 6,326.51/x
  3. Step 3: Cross multiply
    10,103.54x = 13,942.13 × 6,326.51
  4. Step 4: Simplify right side
    10,103.54x = 88,204,923.52
  5. Step 5: Solve for x
    x = 88,204,923.52/10,103.54
  6. Step 6: Final answer
    x = 8,730.11

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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.