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Finding the Fourth Proportional to 10,197.04, 15,295.01 and 3,271

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Solution

The fourth proportional to 10,197.04, 15,295.01 and 3,271 is: 4,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.04 : 15,295.01 = 3,271 : x
  2. Step 2: Convert to fraction form
    10,197.04/15,295.01 = 3,271/x
  3. Step 3: Cross multiply
    10,197.04x = 15,295.01 × 3,271
  4. Step 4: Simplify right side
    10,197.04x = 50,029,977.71
  5. Step 5: Solve for x
    x = 50,029,977.71/10,197.04
  6. Step 6: Final answer
    x = 4,906.32

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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.