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Finding the Fourth Proportional to 7,542.90, 10,409.49 and 4,558.14

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Solution

The fourth proportional to 7,542.90, 10,409.49 and 4,558.14 is: 6,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.90 : 10,409.49 = 4,558.14 : x
  2. Step 2: Convert to fraction form
    7,542.90/10,409.49 = 4,558.14/x
  3. Step 3: Cross multiply
    7,542.90x = 10,409.49 × 4,558.14
  4. Step 4: Simplify right side
    7,542.90x = 47,447,912.75
  5. Step 5: Solve for x
    x = 47,447,912.75/7,542.90
  6. Step 6: Final answer
    x = 6,290.41

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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.