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Finding the Fourth Proportional to 8,907.40, 12,344.11 and 8,782.12

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Solution

The fourth proportional to 8,907.40, 12,344.11 and 8,782.12 is: 12,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,907.40 : 12,344.11 = 8,782.12 : x
  2. Step 2: Convert to fraction form
    8,907.40/12,344.11 = 8,782.12/x
  3. Step 3: Cross multiply
    8,907.40x = 12,344.11 × 8,782.12
  4. Step 4: Simplify right side
    8,907.40x = 108,407,455.31
  5. Step 5: Solve for x
    x = 108,407,455.31/8,907.40
  6. Step 6: Final answer
    x = 12,170.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.