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Finding the Fourth Proportional to 8,447.68, 11,645.60 and 5,790.88

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Solution

The fourth proportional to 8,447.68, 11,645.60 and 5,790.88 is: 7,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.68 : 11,645.60 = 5,790.88 : x
  2. Step 2: Convert to fraction form
    8,447.68/11,645.60 = 5,790.88/x
  3. Step 3: Cross multiply
    8,447.68x = 11,645.60 × 5,790.88
  4. Step 4: Simplify right side
    8,447.68x = 67,438,272.13
  5. Step 5: Solve for x
    x = 67,438,272.13/8,447.68
  6. Step 6: Final answer
    x = 7,983.05

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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.