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Finding the Fourth Proportional to 8,472.85, 11,692.60 and 4,696.08

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Solution

The fourth proportional to 8,472.85, 11,692.60 and 4,696.08 is: 6,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.85 : 11,692.60 = 4,696.08 : x
  2. Step 2: Convert to fraction form
    8,472.85/11,692.60 = 4,696.08/x
  3. Step 3: Cross multiply
    8,472.85x = 11,692.60 × 4,696.08
  4. Step 4: Simplify right side
    8,472.85x = 54,909,385.01
  5. Step 5: Solve for x
    x = 54,909,385.01/8,472.85
  6. Step 6: Final answer
    x = 6,480.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.