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Finding the Fourth Proportional to 6,978.32, 10,455.04 and 3,684.04

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Solution

The fourth proportional to 6,978.32, 10,455.04 and 3,684.04 is: 5,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.32 : 10,455.04 = 3,684.04 : x
  2. Step 2: Convert to fraction form
    6,978.32/10,455.04 = 3,684.04/x
  3. Step 3: Cross multiply
    6,978.32x = 10,455.04 × 3,684.04
  4. Step 4: Simplify right side
    6,978.32x = 38,516,785.56
  5. Step 5: Solve for x
    x = 38,516,785.56/6,978.32
  6. Step 6: Final answer
    x = 5,519.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.