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Finding the Fourth Proportional to 7,543.83, 10,412.60 and 4,559.84

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Solution

The fourth proportional to 7,543.83, 10,412.60 and 4,559.84 is: 6,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.83 : 10,412.60 = 4,559.84 : x
  2. Step 2: Convert to fraction form
    7,543.83/10,412.60 = 4,559.84/x
  3. Step 3: Cross multiply
    7,543.83x = 10,412.60 × 4,559.84
  4. Step 4: Simplify right side
    7,543.83x = 47,479,789.98
  5. Step 5: Solve for x
    x = 47,479,789.98/7,543.83
  6. Step 6: Final answer
    x = 6,293.86

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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.