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Finding the Fourth Proportional to 8,216.46, 11,338.86 and 4,680

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Solution

The fourth proportional to 8,216.46, 11,338.86 and 4,680 is: 6,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.46 : 11,338.86 = 4,680 : x
  2. Step 2: Convert to fraction form
    8,216.46/11,338.86 = 4,680/x
  3. Step 3: Cross multiply
    8,216.46x = 11,338.86 × 4,680
  4. Step 4: Simplify right side
    8,216.46x = 53,065,864.80
  5. Step 5: Solve for x
    x = 53,065,864.80/8,216.46
  6. Step 6: Final answer
    x = 6,458.48

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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.