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Finding the Fourth Proportional to 10,197.40, 15,294.42 and 3,271

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Solution

The fourth proportional to 10,197.40, 15,294.42 and 3,271 is: 4,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.40 : 15,294.42 = 3,271 : x
  2. Step 2: Convert to fraction form
    10,197.40/15,294.42 = 3,271/x
  3. Step 3: Cross multiply
    10,197.40x = 15,294.42 × 3,271
  4. Step 4: Simplify right side
    10,197.40x = 50,028,047.82
  5. Step 5: Solve for x
    x = 50,028,047.82/10,197.40
  6. Step 6: Final answer
    x = 4,905.96

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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.