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Finding the Fourth Proportional to 6,189.76, 8,543.91 and 5,533.66

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Solution

The fourth proportional to 6,189.76, 8,543.91 and 5,533.66 is: 7,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.76 : 8,543.91 = 5,533.66 : x
  2. Step 2: Convert to fraction form
    6,189.76/8,543.91 = 5,533.66/x
  3. Step 3: Cross multiply
    6,189.76x = 8,543.91 × 5,533.66
  4. Step 4: Simplify right side
    6,189.76x = 47,279,093.01
  5. Step 5: Solve for x
    x = 47,279,093.01/6,189.76
  6. Step 6: Final answer
    x = 7,638.28

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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.