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Finding the Fourth Proportional to 6,996.30, 10,494.63 and 2,316.30

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Solution

The fourth proportional to 6,996.30, 10,494.63 and 2,316.30 is: 3,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.30 : 10,494.63 = 2,316.30 : x
  2. Step 2: Convert to fraction form
    6,996.30/10,494.63 = 2,316.30/x
  3. Step 3: Cross multiply
    6,996.30x = 10,494.63 × 2,316.30
  4. Step 4: Simplify right side
    6,996.30x = 24,308,711.47
  5. Step 5: Solve for x
    x = 24,308,711.47/6,996.30
  6. Step 6: Final answer
    x = 3,474.51

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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.