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Finding the Fourth Proportional to 11,785.50, 16,264.37 and 6,480.70

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Solution

The fourth proportional to 11,785.50, 16,264.37 and 6,480.70 is: 8,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.50 : 16,264.37 = 6,480.70 : x
  2. Step 2: Convert to fraction form
    11,785.50/16,264.37 = 6,480.70/x
  3. Step 3: Cross multiply
    11,785.50x = 16,264.37 × 6,480.70
  4. Step 4: Simplify right side
    11,785.50x = 105,404,502.66
  5. Step 5: Solve for x
    x = 105,404,502.66/11,785.50
  6. Step 6: Final answer
    x = 8,943.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.