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Finding the Fourth Proportional to 11,785.42, 16,264.19 and 6,480.37

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Solution

The fourth proportional to 11,785.42, 16,264.19 and 6,480.37 is: 8,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.42 : 16,264.19 = 6,480.37 : x
  2. Step 2: Convert to fraction form
    11,785.42/16,264.19 = 6,480.37/x
  3. Step 3: Cross multiply
    11,785.42x = 16,264.19 × 6,480.37
  4. Step 4: Simplify right side
    11,785.42x = 105,397,968.95
  5. Step 5: Solve for x
    x = 105,397,968.95/11,785.42
  6. Step 6: Final answer
    x = 8,943.08

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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.