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Finding the Fourth Proportional to 10,675.14, 16,010.56 and 2,882.14

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Solution

The fourth proportional to 10,675.14, 16,010.56 and 2,882.14 is: 4,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.14 : 16,010.56 = 2,882.14 : x
  2. Step 2: Convert to fraction form
    10,675.14/16,010.56 = 2,882.14/x
  3. Step 3: Cross multiply
    10,675.14x = 16,010.56 × 2,882.14
  4. Step 4: Simplify right side
    10,675.14x = 46,144,675.40
  5. Step 5: Solve for x
    x = 46,144,675.40/10,675.14
  6. Step 6: Final answer
    x = 4,322.63

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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.