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Finding the Fourth Proportional to 7,829.83, 10,804.92 and 4,292.97

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Solution

The fourth proportional to 7,829.83, 10,804.92 and 4,292.97 is: 5,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.83 : 10,804.92 = 4,292.97 : x
  2. Step 2: Convert to fraction form
    7,829.83/10,804.92 = 4,292.97/x
  3. Step 3: Cross multiply
    7,829.83x = 10,804.92 × 4,292.97
  4. Step 4: Simplify right side
    7,829.83x = 46,385,197.41
  5. Step 5: Solve for x
    x = 46,385,197.41/7,829.83
  6. Step 6: Final answer
    x = 5,924.16

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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.