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Finding the Fourth Proportional to 6,907.12, 10,361 and 1,977.48

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Solution

The fourth proportional to 6,907.12, 10,361 and 1,977.48 is: 2,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.12 : 10,361 = 1,977.48 : x
  2. Step 2: Convert to fraction form
    6,907.12/10,361 = 1,977.48/x
  3. Step 3: Cross multiply
    6,907.12x = 10,361 × 1,977.48
  4. Step 4: Simplify right side
    6,907.12x = 20,488,670.28
  5. Step 5: Solve for x
    x = 20,488,670.28/6,907.12
  6. Step 6: Final answer
    x = 2,966.31

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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.