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Finding the Fourth Proportional to 7,265.44, 10,892.40 and 2,884

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Solution

The fourth proportional to 7,265.44, 10,892.40 and 2,884 is: 4,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.44 : 10,892.40 = 2,884 : x
  2. Step 2: Convert to fraction form
    7,265.44/10,892.40 = 2,884/x
  3. Step 3: Cross multiply
    7,265.44x = 10,892.40 × 2,884
  4. Step 4: Simplify right side
    7,265.44x = 31,413,681.60
  5. Step 5: Solve for x
    x = 31,413,681.60/7,265.44
  6. Step 6: Final answer
    x = 4,323.71

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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.