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Finding the Fourth Proportional to 12,366.12, 17,065.38 and 6,777

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Solution

The fourth proportional to 12,366.12, 17,065.38 and 6,777 is: 9,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366.12 : 17,065.38 = 6,777 : x
  2. Step 2: Convert to fraction form
    12,366.12/17,065.38 = 6,777/x
  3. Step 3: Cross multiply
    12,366.12x = 17,065.38 × 6,777
  4. Step 4: Simplify right side
    12,366.12x = 115,652,080.26
  5. Step 5: Solve for x
    x = 115,652,080.26/12,366.12
  6. Step 6: Final answer
    x = 9,352.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.