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Finding the Fourth Proportional to 8,421.44, 12,630.64 and 2,264

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Solution

The fourth proportional to 8,421.44, 12,630.64 and 2,264 is: 3,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.44 : 12,630.64 = 2,264 : x
  2. Step 2: Convert to fraction form
    8,421.44/12,630.64 = 2,264/x
  3. Step 3: Cross multiply
    8,421.44x = 12,630.64 × 2,264
  4. Step 4: Simplify right side
    8,421.44x = 28,595,768.96
  5. Step 5: Solve for x
    x = 28,595,768.96/8,421.44
  6. Step 6: Final answer
    x = 3,395.59

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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.