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Finding the Fourth Proportional to 8,506.44, 12,756.82 and 3,575.16

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Solution

The fourth proportional to 8,506.44, 12,756.82 and 3,575.16 is: 5,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.44 : 12,756.82 = 3,575.16 : x
  2. Step 2: Convert to fraction form
    8,506.44/12,756.82 = 3,575.16/x
  3. Step 3: Cross multiply
    8,506.44x = 12,756.82 × 3,575.16
  4. Step 4: Simplify right side
    8,506.44x = 45,607,672.59
  5. Step 5: Solve for x
    x = 45,607,672.59/8,506.44
  6. Step 6: Final answer
    x = 5,361.55

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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.