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Finding the Fourth Proportional to 10,343.39, 15,519.63 and 5,416.56

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Solution

The fourth proportional to 10,343.39, 15,519.63 and 5,416.56 is: 8,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.39 : 15,519.63 = 5,416.56 : x
  2. Step 2: Convert to fraction form
    10,343.39/15,519.63 = 5,416.56/x
  3. Step 3: Cross multiply
    10,343.39x = 15,519.63 × 5,416.56
  4. Step 4: Simplify right side
    10,343.39x = 84,063,007.07
  5. Step 5: Solve for x
    x = 84,063,007.07/10,343.39
  6. Step 6: Final answer
    x = 8,127.22

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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.