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Finding the Fourth Proportional to 7,351.56, 10,142.82 and 4,558.68

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Solution

The fourth proportional to 7,351.56, 10,142.82 and 4,558.68 is: 6,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.56 : 10,142.82 = 4,558.68 : x
  2. Step 2: Convert to fraction form
    7,351.56/10,142.82 = 4,558.68/x
  3. Step 3: Cross multiply
    7,351.56x = 10,142.82 × 4,558.68
  4. Step 4: Simplify right side
    7,351.56x = 46,237,870.68
  5. Step 5: Solve for x
    x = 46,237,870.68/7,351.56
  6. Step 6: Final answer
    x = 6,289.53

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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.