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Finding the Fourth Proportional to 11,307.80, 16,959 and 3,408.68

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Solution

The fourth proportional to 11,307.80, 16,959 and 3,408.68 is: 5,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.80 : 16,959 = 3,408.68 : x
  2. Step 2: Convert to fraction form
    11,307.80/16,959 = 3,408.68/x
  3. Step 3: Cross multiply
    11,307.80x = 16,959 × 3,408.68
  4. Step 4: Simplify right side
    11,307.80x = 57,807,804.12
  5. Step 5: Solve for x
    x = 57,807,804.12/11,307.80
  6. Step 6: Final answer
    x = 5,112.21

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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.