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Finding the Fourth Proportional to 8,162.07, 11,264.24 and 4,713.69

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Solution

The fourth proportional to 8,162.07, 11,264.24 and 4,713.69 is: 6,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.07 : 11,264.24 = 4,713.69 : x
  2. Step 2: Convert to fraction form
    8,162.07/11,264.24 = 4,713.69/x
  3. Step 3: Cross multiply
    8,162.07x = 11,264.24 × 4,713.69
  4. Step 4: Simplify right side
    8,162.07x = 53,096,176.21
  5. Step 5: Solve for x
    x = 53,096,176.21/8,162.07
  6. Step 6: Final answer
    x = 6,505.24

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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.