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Finding the Fourth Proportional to 7,825.33, 10,798.95 and 4,288.87

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Solution

The fourth proportional to 7,825.33, 10,798.95 and 4,288.87 is: 5,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.33 : 10,798.95 = 4,288.87 : x
  2. Step 2: Convert to fraction form
    7,825.33/10,798.95 = 4,288.87/x
  3. Step 3: Cross multiply
    7,825.33x = 10,798.95 × 4,288.87
  4. Step 4: Simplify right side
    7,825.33x = 46,315,292.69
  5. Step 5: Solve for x
    x = 46,315,292.69/7,825.33
  6. Step 6: Final answer
    x = 5,918.64

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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.