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Finding the Fourth Proportional to 7,833.98, 11,685.64 and 7,086.62

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Solution

The fourth proportional to 7,833.98, 11,685.64 and 7,086.62 is: 10,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.98 : 11,685.64 = 7,086.62 : x
  2. Step 2: Convert to fraction form
    7,833.98/11,685.64 = 7,086.62/x
  3. Step 3: Cross multiply
    7,833.98x = 11,685.64 × 7,086.62
  4. Step 4: Simplify right side
    7,833.98x = 82,811,690.14
  5. Step 5: Solve for x
    x = 82,811,690.14/7,833.98
  6. Step 6: Final answer
    x = 10,570.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.