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Finding the Fourth Proportional to 8,447.60, 12,671.40 and 5,682.80

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Solution

The fourth proportional to 8,447.60, 12,671.40 and 5,682.80 is: 8,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.60 : 12,671.40 = 5,682.80 : x
  2. Step 2: Convert to fraction form
    8,447.60/12,671.40 = 5,682.80/x
  3. Step 3: Cross multiply
    8,447.60x = 12,671.40 × 5,682.80
  4. Step 4: Simplify right side
    8,447.60x = 72,009,031.92
  5. Step 5: Solve for x
    x = 72,009,031.92/8,447.60
  6. Step 6: Final answer
    x = 8,524.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.