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Finding the Fourth Proportional to 8,182.98, 11,282.55 and 6,921.78

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Solution

The fourth proportional to 8,182.98, 11,282.55 and 6,921.78 is: 9,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.98 : 11,282.55 = 6,921.78 : x
  2. Step 2: Convert to fraction form
    8,182.98/11,282.55 = 6,921.78/x
  3. Step 3: Cross multiply
    8,182.98x = 11,282.55 × 6,921.78
  4. Step 4: Simplify right side
    8,182.98x = 78,095,328.94
  5. Step 5: Solve for x
    x = 78,095,328.94/8,182.98
  6. Step 6: Final answer
    x = 9,543.63

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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.