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Finding the Fourth Proportional to 6,980.34, 10,463.14 and 2,299.13

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Solution

The fourth proportional to 6,980.34, 10,463.14 and 2,299.13 is: 3,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.34 : 10,463.14 = 2,299.13 : x
  2. Step 2: Convert to fraction form
    6,980.34/10,463.14 = 2,299.13/x
  3. Step 3: Cross multiply
    6,980.34x = 10,463.14 × 2,299.13
  4. Step 4: Simplify right side
    6,980.34x = 24,056,119.07
  5. Step 5: Solve for x
    x = 24,056,119.07/6,980.34
  6. Step 6: Final answer
    x = 3,446.27

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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.