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Finding the Fourth Proportional to 8,671.88, 11,967.14 and 4,692.98

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Solution

The fourth proportional to 8,671.88, 11,967.14 and 4,692.98 is: 6,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.88 : 11,967.14 = 4,692.98 : x
  2. Step 2: Convert to fraction form
    8,671.88/11,967.14 = 4,692.98/x
  3. Step 3: Cross multiply
    8,671.88x = 11,967.14 × 4,692.98
  4. Step 4: Simplify right side
    8,671.88x = 56,161,465.38
  5. Step 5: Solve for x
    x = 56,161,465.38/8,671.88
  6. Step 6: Final answer
    x = 6,476.28

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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.