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Finding the Fourth Proportional to 7,114.89, 10,672.53 and 1,920.75

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Solution

The fourth proportional to 7,114.89, 10,672.53 and 1,920.75 is: 2,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.89 : 10,672.53 = 1,920.75 : x
  2. Step 2: Convert to fraction form
    7,114.89/10,672.53 = 1,920.75/x
  3. Step 3: Cross multiply
    7,114.89x = 10,672.53 × 1,920.75
  4. Step 4: Simplify right side
    7,114.89x = 20,499,262.00
  5. Step 5: Solve for x
    x = 20,499,262.00/7,114.89
  6. Step 6: Final answer
    x = 2,881.18

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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.