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Finding the Fourth Proportional to 7,825.79, 10,799.59 and 4,288.99

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Solution

The fourth proportional to 7,825.79, 10,799.59 and 4,288.99 is: 5,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.79 : 10,799.59 = 4,288.99 : x
  2. Step 2: Convert to fraction form
    7,825.79/10,799.59 = 4,288.99/x
  3. Step 3: Cross multiply
    7,825.79x = 10,799.59 × 4,288.99
  4. Step 4: Simplify right side
    7,825.79x = 46,319,333.51
  5. Step 5: Solve for x
    x = 46,319,333.51/7,825.79
  6. Step 6: Final answer
    x = 5,918.81

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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.