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Finding the Fourth Proportional to 7,144.34, 10,726.34 and 3,636.72

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Solution

The fourth proportional to 7,144.34, 10,726.34 and 3,636.72 is: 5,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.34 : 10,726.34 = 3,636.72 : x
  2. Step 2: Convert to fraction form
    7,144.34/10,726.34 = 3,636.72/x
  3. Step 3: Cross multiply
    7,144.34x = 10,726.34 × 3,636.72
  4. Step 4: Simplify right side
    7,144.34x = 39,008,677.02
  5. Step 5: Solve for x
    x = 39,008,677.02/7,144.34
  6. Step 6: Final answer
    x = 5,460.09

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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.