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Finding the Fourth Proportional to 10,071.41, 15,104.83 and 3,829.20

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Solution

The fourth proportional to 10,071.41, 15,104.83 and 3,829.20 is: 5,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.41 : 15,104.83 = 3,829.20 : x
  2. Step 2: Convert to fraction form
    10,071.41/15,104.83 = 3,829.20/x
  3. Step 3: Cross multiply
    10,071.41x = 15,104.83 × 3,829.20
  4. Step 4: Simplify right side
    10,071.41x = 57,839,415.04
  5. Step 5: Solve for x
    x = 57,839,415.04/10,071.41
  6. Step 6: Final answer
    x = 5,742.93

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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.