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Finding the Fourth Proportional to 7,002.12, 9,671.24 and 5,682.64

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Solution

The fourth proportional to 7,002.12, 9,671.24 and 5,682.64 is: 7,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.12 : 9,671.24 = 5,682.64 : x
  2. Step 2: Convert to fraction form
    7,002.12/9,671.24 = 5,682.64/x
  3. Step 3: Cross multiply
    7,002.12x = 9,671.24 × 5,682.64
  4. Step 4: Simplify right side
    7,002.12x = 54,958,175.27
  5. Step 5: Solve for x
    x = 54,958,175.27/7,002.12
  6. Step 6: Final answer
    x = 7,848.79

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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.