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Finding the Fourth Proportional to 7,558.50, 10,430.82 and 4,201.56

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Solution

The fourth proportional to 7,558.50, 10,430.82 and 4,201.56 is: 5,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.50 : 10,430.82 = 4,201.56 : x
  2. Step 2: Convert to fraction form
    7,558.50/10,430.82 = 4,201.56/x
  3. Step 3: Cross multiply
    7,558.50x = 10,430.82 × 4,201.56
  4. Step 4: Simplify right side
    7,558.50x = 43,825,716.08
  5. Step 5: Solve for x
    x = 43,825,716.08/7,558.50
  6. Step 6: Final answer
    x = 5,798.20

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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.