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Finding the Fourth Proportional to 11,785.56, 16,264.38 and 6,480.72

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Solution

The fourth proportional to 11,785.56, 16,264.38 and 6,480.72 is: 8,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.56 : 16,264.38 = 6,480.72 : x
  2. Step 2: Convert to fraction form
    11,785.56/16,264.38 = 6,480.72/x
  3. Step 3: Cross multiply
    11,785.56x = 16,264.38 × 6,480.72
  4. Step 4: Simplify right side
    11,785.56x = 105,404,892.75
  5. Step 5: Solve for x
    x = 105,404,892.75/11,785.56
  6. Step 6: Final answer
    x = 8,943.56

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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.