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Finding the Fourth Proportional to 7,833.81, 10,810.73 and 4,297.05

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Solution

The fourth proportional to 7,833.81, 10,810.73 and 4,297.05 is: 5,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.81 : 10,810.73 = 4,297.05 : x
  2. Step 2: Convert to fraction form
    7,833.81/10,810.73 = 4,297.05/x
  3. Step 3: Cross multiply
    7,833.81x = 10,810.73 × 4,297.05
  4. Step 4: Simplify right side
    7,833.81x = 46,454,258.09
  5. Step 5: Solve for x
    x = 46,454,258.09/7,833.81
  6. Step 6: Final answer
    x = 5,929.97

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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.