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Finding the Fourth Proportional to 11,620.97, 16,036.28 and 6,315.75

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Solution

The fourth proportional to 11,620.97, 16,036.28 and 6,315.75 is: 8,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.97 : 16,036.28 = 6,315.75 : x
  2. Step 2: Convert to fraction form
    11,620.97/16,036.28 = 6,315.75/x
  3. Step 3: Cross multiply
    11,620.97x = 16,036.28 × 6,315.75
  4. Step 4: Simplify right side
    11,620.97x = 101,281,135.41
  5. Step 5: Solve for x
    x = 101,281,135.41/11,620.97
  6. Step 6: Final answer
    x = 8,715.38

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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.