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Finding the Fourth Proportional to 11,260.38, 15,539.94 and 7,284.90

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Solution

The fourth proportional to 11,260.38, 15,539.94 and 7,284.90 is: 10,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,260.38 : 15,539.94 = 7,284.90 : x
  2. Step 2: Convert to fraction form
    11,260.38/15,539.94 = 7,284.90/x
  3. Step 3: Cross multiply
    11,260.38x = 15,539.94 × 7,284.90
  4. Step 4: Simplify right side
    11,260.38x = 113,206,908.91
  5. Step 5: Solve for x
    x = 113,206,908.91/11,260.38
  6. Step 6: Final answer
    x = 10,053.56

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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.