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Finding the Fourth Proportional to 7,833.26, 10,809.90 and 4,296.56

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Solution

The fourth proportional to 7,833.26, 10,809.90 and 4,296.56 is: 5,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.26 : 10,809.90 = 4,296.56 : x
  2. Step 2: Convert to fraction form
    7,833.26/10,809.90 = 4,296.56/x
  3. Step 3: Cross multiply
    7,833.26x = 10,809.90 × 4,296.56
  4. Step 4: Simplify right side
    7,833.26x = 46,445,329.89
  5. Step 5: Solve for x
    x = 46,445,329.89/7,833.26
  6. Step 6: Final answer
    x = 5,929.25

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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.