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Finding the Fourth Proportional to 12,856.39, 17,742.05 and 7,820.83

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Solution

The fourth proportional to 12,856.39, 17,742.05 and 7,820.83 is: 10,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.39 : 17,742.05 = 7,820.83 : x
  2. Step 2: Convert to fraction form
    12,856.39/17,742.05 = 7,820.83/x
  3. Step 3: Cross multiply
    12,856.39x = 17,742.05 × 7,820.83
  4. Step 4: Simplify right side
    12,856.39x = 138,757,429.09
  5. Step 5: Solve for x
    x = 138,757,429.09/12,856.39
  6. Step 6: Final answer
    x = 10,792.88

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