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Finding the Fourth Proportional to 11,620.71, 16,036.37 and 6,315.55

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Solution

The fourth proportional to 11,620.71, 16,036.37 and 6,315.55 is: 8,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.71 : 16,036.37 = 6,315.55 : x
  2. Step 2: Convert to fraction form
    11,620.71/16,036.37 = 6,315.55/x
  3. Step 3: Cross multiply
    11,620.71x = 16,036.37 × 6,315.55
  4. Step 4: Simplify right side
    11,620.71x = 101,278,496.55
  5. Step 5: Solve for x
    x = 101,278,496.55/11,620.71
  6. Step 6: Final answer
    x = 8,715.34

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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.