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Finding the Fourth Proportional to 7,825.17, 10,798.86 and 4,288.57

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Solution

The fourth proportional to 7,825.17, 10,798.86 and 4,288.57 is: 5,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.17 : 10,798.86 = 4,288.57 : x
  2. Step 2: Convert to fraction form
    7,825.17/10,798.86 = 4,288.57/x
  3. Step 3: Cross multiply
    7,825.17x = 10,798.86 × 4,288.57
  4. Step 4: Simplify right side
    7,825.17x = 46,311,667.03
  5. Step 5: Solve for x
    x = 46,311,667.03/7,825.17
  6. Step 6: Final answer
    x = 5,918.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.