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Finding the Fourth Proportional to 7,265.72, 10,896.95 and 2,882.00

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Solution

The fourth proportional to 7,265.72, 10,896.95 and 2,882.00 is: 4,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.72 : 10,896.95 = 2,882.00 : x
  2. Step 2: Convert to fraction form
    7,265.72/10,896.95 = 2,882.00/x
  3. Step 3: Cross multiply
    7,265.72x = 10,896.95 × 2,882.00
  4. Step 4: Simplify right side
    7,265.72x = 31,404,941.01
  5. Step 5: Solve for x
    x = 31,404,941.01/7,265.72
  6. Step 6: Final answer
    x = 4,322.35

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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.