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Finding the Fourth Proportional to 8,692.71, 11,995.93 and 4,713.82

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Solution

The fourth proportional to 8,692.71, 11,995.93 and 4,713.82 is: 6,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.71 : 11,995.93 = 4,713.82 : x
  2. Step 2: Convert to fraction form
    8,692.71/11,995.93 = 4,713.82/x
  3. Step 3: Cross multiply
    8,692.71x = 11,995.93 × 4,713.82
  4. Step 4: Simplify right side
    8,692.71x = 56,546,630.66
  5. Step 5: Solve for x
    x = 56,546,630.66/8,692.71
  6. Step 6: Final answer
    x = 6,505.06

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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.