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Finding the Fourth Proportional to 8,494.58, 12,729.52 and 3,744.96

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Solution

The fourth proportional to 8,494.58, 12,729.52 and 3,744.96 is: 5,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.58 : 12,729.52 = 3,744.96 : x
  2. Step 2: Convert to fraction form
    8,494.58/12,729.52 = 3,744.96/x
  3. Step 3: Cross multiply
    8,494.58x = 12,729.52 × 3,744.96
  4. Step 4: Simplify right side
    8,494.58x = 47,671,543.22
  5. Step 5: Solve for x
    x = 47,671,543.22/8,494.58
  6. Step 6: Final answer
    x = 5,612.00

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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.