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Finding the Fourth Proportional to 10,907.40, 16,361.26 and 2,699.40

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Solution

The fourth proportional to 10,907.40, 16,361.26 and 2,699.40 is: 4,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.40 : 16,361.26 = 2,699.40 : x
  2. Step 2: Convert to fraction form
    10,907.40/16,361.26 = 2,699.40/x
  3. Step 3: Cross multiply
    10,907.40x = 16,361.26 × 2,699.40
  4. Step 4: Simplify right side
    10,907.40x = 44,165,585.24
  5. Step 5: Solve for x
    x = 44,165,585.24/10,907.40
  6. Step 6: Final answer
    x = 4,049.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.