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Finding the Fourth Proportional to 7,853.66, 11,774.31 and 2,920.61

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Solution

The fourth proportional to 7,853.66, 11,774.31 and 2,920.61 is: 4,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.66 : 11,774.31 = 2,920.61 : x
  2. Step 2: Convert to fraction form
    7,853.66/11,774.31 = 2,920.61/x
  3. Step 3: Cross multiply
    7,853.66x = 11,774.31 × 2,920.61
  4. Step 4: Simplify right side
    7,853.66x = 34,388,136.21
  5. Step 5: Solve for x
    x = 34,388,136.21/7,853.66
  6. Step 6: Final answer
    x = 4,378.61

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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.