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Finding the Fourth Proportional to 7,836.81, 10,814.88 and 4,299.93

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Solution

The fourth proportional to 7,836.81, 10,814.88 and 4,299.93 is: 5,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.81 : 10,814.88 = 4,299.93 : x
  2. Step 2: Convert to fraction form
    7,836.81/10,814.88 = 4,299.93/x
  3. Step 3: Cross multiply
    7,836.81x = 10,814.88 × 4,299.93
  4. Step 4: Simplify right side
    7,836.81x = 46,503,226.96
  5. Step 5: Solve for x
    x = 46,503,226.96/7,836.81
  6. Step 6: Final answer
    x = 5,933.95

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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.