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Finding the Fourth Proportional to 11,677.02, 16,114.32 and 6,961.20

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Solution

The fourth proportional to 11,677.02, 16,114.32 and 6,961.20 is: 9,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.02 : 16,114.32 = 6,961.20 : x
  2. Step 2: Convert to fraction form
    11,677.02/16,114.32 = 6,961.20/x
  3. Step 3: Cross multiply
    11,677.02x = 16,114.32 × 6,961.20
  4. Step 4: Simplify right side
    11,677.02x = 112,175,004.38
  5. Step 5: Solve for x
    x = 112,175,004.38/11,677.02
  6. Step 6: Final answer
    x = 9,606.48

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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.