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Finding the Fourth Proportional to 7,833.77, 10,810.94 and 4,476.85

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Solution

The fourth proportional to 7,833.77, 10,810.94 and 4,476.85 is: 6,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.77 : 10,810.94 = 4,476.85 : x
  2. Step 2: Convert to fraction form
    7,833.77/10,810.94 = 4,476.85/x
  3. Step 3: Cross multiply
    7,833.77x = 10,810.94 × 4,476.85
  4. Step 4: Simplify right side
    7,833.77x = 48,398,940.90
  5. Step 5: Solve for x
    x = 48,398,940.90/7,833.77
  6. Step 6: Final answer
    x = 6,178.24

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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.