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Finding the Fourth Proportional to 10,742.67, 16,114.01 and 2,952.09

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Solution

The fourth proportional to 10,742.67, 16,114.01 and 2,952.09 is: 4,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.67 : 16,114.01 = 2,952.09 : x
  2. Step 2: Convert to fraction form
    10,742.67/16,114.01 = 2,952.09/x
  3. Step 3: Cross multiply
    10,742.67x = 16,114.01 × 2,952.09
  4. Step 4: Simplify right side
    10,742.67x = 47,569,993.02
  5. Step 5: Solve for x
    x = 47,569,993.02/10,742.67
  6. Step 6: Final answer
    x = 4,428.14

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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.