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Finding the Fourth Proportional to 8,180, 11,275.50 and 5,342.36

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Solution

The fourth proportional to 8,180, 11,275.50 and 5,342.36 is: 7,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180 : 11,275.50 = 5,342.36 : x
  2. Step 2: Convert to fraction form
    8,180/11,275.50 = 5,342.36/x
  3. Step 3: Cross multiply
    8,180x = 11,275.50 × 5,342.36
  4. Step 4: Simplify right side
    8,180x = 60,237,780.18
  5. Step 5: Solve for x
    x = 60,237,780.18/8,180
  6. Step 6: Final answer
    x = 7,364.03

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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.