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Finding the Fourth Proportional to 7,114.25, 10,674.44 and 2,731.16

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Solution

The fourth proportional to 7,114.25, 10,674.44 and 2,731.16 is: 4,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.25 : 10,674.44 = 2,731.16 : x
  2. Step 2: Convert to fraction form
    7,114.25/10,674.44 = 2,731.16/x
  3. Step 3: Cross multiply
    7,114.25x = 10,674.44 × 2,731.16
  4. Step 4: Simplify right side
    7,114.25x = 29,153,603.55
  5. Step 5: Solve for x
    x = 29,153,603.55/7,114.25
  6. Step 6: Final answer
    x = 4,097.92

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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.