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Finding the Fourth Proportional to 8,180.37, 11,210.25 and 7,393.05

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Solution

The fourth proportional to 8,180.37, 11,210.25 and 7,393.05 is: 10,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.37 : 11,210.25 = 7,393.05 : x
  2. Step 2: Convert to fraction form
    8,180.37/11,210.25 = 7,393.05/x
  3. Step 3: Cross multiply
    8,180.37x = 11,210.25 × 7,393.05
  4. Step 4: Simplify right side
    8,180.37x = 82,877,938.76
  5. Step 5: Solve for x
    x = 82,877,938.76/8,180.37
  6. Step 6: Final answer
    x = 10,131.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.