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Finding the Fourth Proportional to 7,443.31, 10,271.12 and 4,086.11

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Solution

The fourth proportional to 7,443.31, 10,271.12 and 4,086.11 is: 5,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.31 : 10,271.12 = 4,086.11 : x
  2. Step 2: Convert to fraction form
    7,443.31/10,271.12 = 4,086.11/x
  3. Step 3: Cross multiply
    7,443.31x = 10,271.12 × 4,086.11
  4. Step 4: Simplify right side
    7,443.31x = 41,968,926.14
  5. Step 5: Solve for x
    x = 41,968,926.14/7,443.31
  6. Step 6: Final answer
    x = 5,638.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.