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Finding the Fourth Proportional to 8,692, 11,995.08 and 4,966

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Solution

The fourth proportional to 8,692, 11,995.08 and 4,966 is: 6,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692 : 11,995.08 = 4,966 : x
  2. Step 2: Convert to fraction form
    8,692/11,995.08 = 4,966/x
  3. Step 3: Cross multiply
    8,692x = 11,995.08 × 4,966
  4. Step 4: Simplify right side
    8,692x = 59,567,567.28
  5. Step 5: Solve for x
    x = 59,567,567.28/8,692
  6. Step 6: Final answer
    x = 6,853.15

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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.