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Finding the Fourth Proportional to 12,709.38, 17,539.59 and 7,329.82

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Solution

The fourth proportional to 12,709.38, 17,539.59 and 7,329.82 is: 10,115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.38 : 17,539.59 = 7,329.82 : x
  2. Step 2: Convert to fraction form
    12,709.38/17,539.59 = 7,329.82/x
  3. Step 3: Cross multiply
    12,709.38x = 17,539.59 × 7,329.82
  4. Step 4: Simplify right side
    12,709.38x = 128,562,012.05
  5. Step 5: Solve for x
    x = 128,562,012.05/12,709.38
  6. Step 6: Final answer
    x = 10,115.52

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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.