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Finding the Fourth Proportional to 10,142.68, 15,214.80 and 3,570.34

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Solution

The fourth proportional to 10,142.68, 15,214.80 and 3,570.34 is: 5,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.68 : 15,214.80 = 3,570.34 : x
  2. Step 2: Convert to fraction form
    10,142.68/15,214.80 = 3,570.34/x
  3. Step 3: Cross multiply
    10,142.68x = 15,214.80 × 3,570.34
  4. Step 4: Simplify right side
    10,142.68x = 54,321,932.96
  5. Step 5: Solve for x
    x = 54,321,932.96/10,142.68
  6. Step 6: Final answer
    x = 5,355.78

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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.