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Finding the Fourth Proportional to 11,700.27, 16,146.39 and 6,395.17

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Solution

The fourth proportional to 11,700.27, 16,146.39 and 6,395.17 is: 8,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.27 : 16,146.39 = 6,395.17 : x
  2. Step 2: Convert to fraction form
    11,700.27/16,146.39 = 6,395.17/x
  3. Step 3: Cross multiply
    11,700.27x = 16,146.39 × 6,395.17
  4. Step 4: Simplify right side
    11,700.27x = 103,258,908.94
  5. Step 5: Solve for x
    x = 103,258,908.94/11,700.27
  6. Step 6: Final answer
    x = 8,825.34

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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.