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Finding the Fourth Proportional to 7,535.54, 10,401.74 and 5,143.80

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Solution

The fourth proportional to 7,535.54, 10,401.74 and 5,143.80 is: 7,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.54 : 10,401.74 = 5,143.80 : x
  2. Step 2: Convert to fraction form
    7,535.54/10,401.74 = 5,143.80/x
  3. Step 3: Cross multiply
    7,535.54x = 10,401.74 × 5,143.80
  4. Step 4: Simplify right side
    7,535.54x = 53,504,531.72
  5. Step 5: Solve for x
    x = 53,504,531.72/7,535.54
  6. Step 6: Final answer
    x = 7,100.29

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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.