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Finding the Fourth Proportional to 7,905.67, 11,849.38 and 2,972.16

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Solution

The fourth proportional to 7,905.67, 11,849.38 and 2,972.16 is: 4,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.67 : 11,849.38 = 2,972.16 : x
  2. Step 2: Convert to fraction form
    7,905.67/11,849.38 = 2,972.16/x
  3. Step 3: Cross multiply
    7,905.67x = 11,849.38 × 2,972.16
  4. Step 4: Simplify right side
    7,905.67x = 35,218,253.26
  5. Step 5: Solve for x
    x = 35,218,253.26/7,905.67
  6. Step 6: Final answer
    x = 4,454.81

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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.