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Finding the Fourth Proportional to 10,343.57, 15,505.74 and 3,768.26

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Solution

The fourth proportional to 10,343.57, 15,505.74 and 3,768.26 is: 5,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.57 : 15,505.74 = 3,768.26 : x
  2. Step 2: Convert to fraction form
    10,343.57/15,505.74 = 3,768.26/x
  3. Step 3: Cross multiply
    10,343.57x = 15,505.74 × 3,768.26
  4. Step 4: Simplify right side
    10,343.57x = 58,429,698.58
  5. Step 5: Solve for x
    x = 58,429,698.58/10,343.57
  6. Step 6: Final answer
    x = 5,648.89

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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.