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Finding the Fourth Proportional to 7,836.12, 10,807.73 and 4,853.61

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Solution

The fourth proportional to 7,836.12, 10,807.73 and 4,853.61 is: 6,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.12 : 10,807.73 = 4,853.61 : x
  2. Step 2: Convert to fraction form
    7,836.12/10,807.73 = 4,853.61/x
  3. Step 3: Cross multiply
    7,836.12x = 10,807.73 × 4,853.61
  4. Step 4: Simplify right side
    7,836.12x = 52,456,506.41
  5. Step 5: Solve for x
    x = 52,456,506.41/7,836.12
  6. Step 6: Final answer
    x = 6,694.19

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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.