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Finding the Fourth Proportional to 7,833.62, 10,810.05 and 4,476.98

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Solution

The fourth proportional to 7,833.62, 10,810.05 and 4,476.98 is: 6,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.62 : 10,810.05 = 4,476.98 : x
  2. Step 2: Convert to fraction form
    7,833.62/10,810.05 = 4,476.98/x
  3. Step 3: Cross multiply
    7,833.62x = 10,810.05 × 4,476.98
  4. Step 4: Simplify right side
    7,833.62x = 48,396,377.65
  5. Step 5: Solve for x
    x = 48,396,377.65/7,833.62
  6. Step 6: Final answer
    x = 6,178.03

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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.