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Finding the Fourth Proportional to 6,907.47, 10,361.20 and 1,977.12

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Solution

The fourth proportional to 6,907.47, 10,361.20 and 1,977.12 is: 2,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.47 : 10,361.20 = 1,977.12 : x
  2. Step 2: Convert to fraction form
    6,907.47/10,361.20 = 1,977.12/x
  3. Step 3: Cross multiply
    6,907.47x = 10,361.20 × 1,977.12
  4. Step 4: Simplify right side
    6,907.47x = 20,485,377.07
  5. Step 5: Solve for x
    x = 20,485,377.07/6,907.47
  6. Step 6: Final answer
    x = 2,965.69

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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.