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Finding the Fourth Proportional to 7,836.69, 11,756.13 and 2,290.44

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Solution

The fourth proportional to 7,836.69, 11,756.13 and 2,290.44 is: 3,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.69 : 11,756.13 = 2,290.44 : x
  2. Step 2: Convert to fraction form
    7,836.69/11,756.13 = 2,290.44/x
  3. Step 3: Cross multiply
    7,836.69x = 11,756.13 × 2,290.44
  4. Step 4: Simplify right side
    7,836.69x = 26,926,710.40
  5. Step 5: Solve for x
    x = 26,926,710.40/7,836.69
  6. Step 6: Final answer
    x = 3,435.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.