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Finding the Fourth Proportional to 11,700.15, 16,146.44 and 6,395.30

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Solution

The fourth proportional to 11,700.15, 16,146.44 and 6,395.30 is: 8,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.15 : 16,146.44 = 6,395.30 : x
  2. Step 2: Convert to fraction form
    11,700.15/16,146.44 = 6,395.30/x
  3. Step 3: Cross multiply
    11,700.15x = 16,146.44 × 6,395.30
  4. Step 4: Simplify right side
    11,700.15x = 103,261,390.38
  5. Step 5: Solve for x
    x = 103,261,390.38/11,700.15
  6. Step 6: Final answer
    x = 8,825.65

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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.