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Finding the Fourth Proportional to 8,671.34, 11,966.48 and 4,692.45

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Solution

The fourth proportional to 8,671.34, 11,966.48 and 4,692.45 is: 6,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.34 : 11,966.48 = 4,692.45 : x
  2. Step 2: Convert to fraction form
    8,671.34/11,966.48 = 4,692.45/x
  3. Step 3: Cross multiply
    8,671.34x = 11,966.48 × 4,692.45
  4. Step 4: Simplify right side
    8,671.34x = 56,152,067.58
  5. Step 5: Solve for x
    x = 56,152,067.58/8,671.34
  6. Step 6: Final answer
    x = 6,475.60

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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.