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Finding the Fourth Proportional to 7,171.40, 10,756.82 and 1,977.14

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Solution

The fourth proportional to 7,171.40, 10,756.82 and 1,977.14 is: 2,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.40 : 10,756.82 = 1,977.14 : x
  2. Step 2: Convert to fraction form
    7,171.40/10,756.82 = 1,977.14/x
  3. Step 3: Cross multiply
    7,171.40x = 10,756.82 × 1,977.14
  4. Step 4: Simplify right side
    7,171.40x = 21,267,675.43
  5. Step 5: Solve for x
    x = 21,267,675.43/7,171.40
  6. Step 6: Final answer
    x = 2,965.63

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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.