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Finding the Fourth Proportional to 8,465.02, 12,692.64 and 3,264.82

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Solution

The fourth proportional to 8,465.02, 12,692.64 and 3,264.82 is: 4,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.02 : 12,692.64 = 3,264.82 : x
  2. Step 2: Convert to fraction form
    8,465.02/12,692.64 = 3,264.82/x
  3. Step 3: Cross multiply
    8,465.02x = 12,692.64 × 3,264.82
  4. Step 4: Simplify right side
    8,465.02x = 41,439,184.92
  5. Step 5: Solve for x
    x = 41,439,184.92/8,465.02
  6. Step 6: Final answer
    x = 4,895.34

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Why These Related Problems?

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