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Finding the Fourth Proportional to 10,619.70, 14,654.16 and 6,142.56

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Solution

The fourth proportional to 10,619.70, 14,654.16 and 6,142.56 is: 8,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619.70 : 14,654.16 = 6,142.56 : x
  2. Step 2: Convert to fraction form
    10,619.70/14,654.16 = 6,142.56/x
  3. Step 3: Cross multiply
    10,619.70x = 14,654.16 × 6,142.56
  4. Step 4: Simplify right side
    10,619.70x = 90,014,057.05
  5. Step 5: Solve for x
    x = 90,014,057.05/10,619.70
  6. Step 6: Final answer
    x = 8,476.14

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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.