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Finding the Fourth Proportional to 8,650.86, 12,977.14 and 2,325.66

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Solution

The fourth proportional to 8,650.86, 12,977.14 and 2,325.66 is: 3,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.86 : 12,977.14 = 2,325.66 : x
  2. Step 2: Convert to fraction form
    8,650.86/12,977.14 = 2,325.66/x
  3. Step 3: Cross multiply
    8,650.86x = 12,977.14 × 2,325.66
  4. Step 4: Simplify right side
    8,650.86x = 30,180,415.41
  5. Step 5: Solve for x
    x = 30,180,415.41/8,650.86
  6. Step 6: Final answer
    x = 3,488.72

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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.