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Finding the Fourth Proportional to 7,000.20, 10,488.96 and 3,293.64

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Solution

The fourth proportional to 7,000.20, 10,488.96 and 3,293.64 is: 4,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.20 : 10,488.96 = 3,293.64 : x
  2. Step 2: Convert to fraction form
    7,000.20/10,488.96 = 3,293.64/x
  3. Step 3: Cross multiply
    7,000.20x = 10,488.96 × 3,293.64
  4. Step 4: Simplify right side
    7,000.20x = 34,546,858.21
  5. Step 5: Solve for x
    x = 34,546,858.21/7,000.20
  6. Step 6: Final answer
    x = 4,935.12

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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.