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Finding the Fourth Proportional to 7,543.70, 11,319.96 and 3,160.82

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Solution

The fourth proportional to 7,543.70, 11,319.96 and 3,160.82 is: 4,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.70 : 11,319.96 = 3,160.82 : x
  2. Step 2: Convert to fraction form
    7,543.70/11,319.96 = 3,160.82/x
  3. Step 3: Cross multiply
    7,543.70x = 11,319.96 × 3,160.82
  4. Step 4: Simplify right side
    7,543.70x = 35,780,355.97
  5. Step 5: Solve for x
    x = 35,780,355.97/7,543.70
  6. Step 6: Final answer
    x = 4,743.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.