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Finding the Fourth Proportional to 7,680.64, 10,594.90 and 5,318.68

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Solution

The fourth proportional to 7,680.64, 10,594.90 and 5,318.68 is: 7,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.64 : 10,594.90 = 5,318.68 : x
  2. Step 2: Convert to fraction form
    7,680.64/10,594.90 = 5,318.68/x
  3. Step 3: Cross multiply
    7,680.64x = 10,594.90 × 5,318.68
  4. Step 4: Simplify right side
    7,680.64x = 56,350,882.73
  5. Step 5: Solve for x
    x = 56,350,882.73/7,680.64
  6. Step 6: Final answer
    x = 7,336.74

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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.