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Finding the Fourth Proportional to 8,185.78, 12,281.91 and 2,992.06

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Solution

The fourth proportional to 8,185.78, 12,281.91 and 2,992.06 is: 4,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.78 : 12,281.91 = 2,992.06 : x
  2. Step 2: Convert to fraction form
    8,185.78/12,281.91 = 2,992.06/x
  3. Step 3: Cross multiply
    8,185.78x = 12,281.91 × 2,992.06
  4. Step 4: Simplify right side
    8,185.78x = 36,748,211.63
  5. Step 5: Solve for x
    x = 36,748,211.63/8,185.78
  6. Step 6: Final answer
    x = 4,489.27

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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.