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Finding the Fourth Proportional to 8,464.00, 11,680.29 and 4,738.00

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Solution

The fourth proportional to 8,464.00, 11,680.29 and 4,738.00 is: 6,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.00 : 11,680.29 = 4,738.00 : x
  2. Step 2: Convert to fraction form
    8,464.00/11,680.29 = 4,738.00/x
  3. Step 3: Cross multiply
    8,464.00x = 11,680.29 × 4,738.00
  4. Step 4: Simplify right side
    8,464.00x = 55,341,255.07
  5. Step 5: Solve for x
    x = 55,341,255.07/8,464.00
  6. Step 6: Final answer
    x = 6,538.43

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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.