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Finding the Fourth Proportional to 7,146.54, 10,726.70 and 3,451.36

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Solution

The fourth proportional to 7,146.54, 10,726.70 and 3,451.36 is: 5,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.54 : 10,726.70 = 3,451.36 : x
  2. Step 2: Convert to fraction form
    7,146.54/10,726.70 = 3,451.36/x
  3. Step 3: Cross multiply
    7,146.54x = 10,726.70 × 3,451.36
  4. Step 4: Simplify right side
    7,146.54x = 37,021,703.31
  5. Step 5: Solve for x
    x = 37,021,703.31/7,146.54
  6. Step 6: Final answer
    x = 5,180.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.