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Finding the Fourth Proportional to 12,856.08, 17,741.40 and 7,819.84

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Solution

The fourth proportional to 12,856.08, 17,741.40 and 7,819.84 is: 10,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.08 : 17,741.40 = 7,819.84 : x
  2. Step 2: Convert to fraction form
    12,856.08/17,741.40 = 7,819.84/x
  3. Step 3: Cross multiply
    12,856.08x = 17,741.40 × 7,819.84
  4. Step 4: Simplify right side
    12,856.08x = 138,734,909.38
  5. Step 5: Solve for x
    x = 138,734,909.38/12,856.08
  6. Step 6: Final answer
    x = 10,791.39

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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.