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Finding the Fourth Proportional to 7,382.36, 11,076.24 and 3,435.50

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Solution

The fourth proportional to 7,382.36, 11,076.24 and 3,435.50 is: 5,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.36 : 11,076.24 = 3,435.50 : x
  2. Step 2: Convert to fraction form
    7,382.36/11,076.24 = 3,435.50/x
  3. Step 3: Cross multiply
    7,382.36x = 11,076.24 × 3,435.50
  4. Step 4: Simplify right side
    7,382.36x = 38,052,422.52
  5. Step 5: Solve for x
    x = 38,052,422.52/7,382.36
  6. Step 6: Final answer
    x = 5,154.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.