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Finding the Fourth Proportional to 8,200.67, 11,303.82 and 5,543.46

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Solution

The fourth proportional to 8,200.67, 11,303.82 and 5,543.46 is: 7,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.67 : 11,303.82 = 5,543.46 : x
  2. Step 2: Convert to fraction form
    8,200.67/11,303.82 = 5,543.46/x
  3. Step 3: Cross multiply
    8,200.67x = 11,303.82 × 5,543.46
  4. Step 4: Simplify right side
    8,200.67x = 62,662,274.02
  5. Step 5: Solve for x
    x = 62,662,274.02/8,200.67
  6. Step 6: Final answer
    x = 7,641.12

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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.