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Finding the Fourth Proportional to 10,343.16, 15,512.06 and 3,768.80

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Solution

The fourth proportional to 10,343.16, 15,512.06 and 3,768.80 is: 5,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.16 : 15,512.06 = 3,768.80 : x
  2. Step 2: Convert to fraction form
    10,343.16/15,512.06 = 3,768.80/x
  3. Step 3: Cross multiply
    10,343.16x = 15,512.06 × 3,768.80
  4. Step 4: Simplify right side
    10,343.16x = 58,461,851.73
  5. Step 5: Solve for x
    x = 58,461,851.73/10,343.16
  6. Step 6: Final answer
    x = 5,652.22

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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.