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Finding the Fourth Proportional to 8,468.04, 11,686.61 and 4,692.39

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Solution

The fourth proportional to 8,468.04, 11,686.61 and 4,692.39 is: 6,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.04 : 11,686.61 = 4,692.39 : x
  2. Step 2: Convert to fraction form
    8,468.04/11,686.61 = 4,692.39/x
  3. Step 3: Cross multiply
    8,468.04x = 11,686.61 × 4,692.39
  4. Step 4: Simplify right side
    8,468.04x = 54,838,149.49
  5. Step 5: Solve for x
    x = 54,838,149.49/8,468.04
  6. Step 6: Final answer
    x = 6,475.90

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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.