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Finding the Fourth Proportional to 7,825.42, 10,799.02 and 4,288.62

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Solution

The fourth proportional to 7,825.42, 10,799.02 and 4,288.62 is: 5,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.42 : 10,799.02 = 4,288.62 : x
  2. Step 2: Convert to fraction form
    7,825.42/10,799.02 = 4,288.62/x
  3. Step 3: Cross multiply
    7,825.42x = 10,799.02 × 4,288.62
  4. Step 4: Simplify right side
    7,825.42x = 46,312,893.15
  5. Step 5: Solve for x
    x = 46,312,893.15/7,825.42
  6. Step 6: Final answer
    x = 5,918.26

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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.