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Finding the Fourth Proportional to 10,342.51, 15,519.94 and 3,769.16

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Solution

The fourth proportional to 10,342.51, 15,519.94 and 3,769.16 is: 5,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.51 : 15,519.94 = 3,769.16 : x
  2. Step 2: Convert to fraction form
    10,342.51/15,519.94 = 3,769.16/x
  3. Step 3: Cross multiply
    10,342.51x = 15,519.94 × 3,769.16
  4. Step 4: Simplify right side
    10,342.51x = 58,497,050.03
  5. Step 5: Solve for x
    x = 58,497,050.03/10,342.51
  6. Step 6: Final answer
    x = 5,655.98

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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.