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Finding the Fourth Proportional to 27,522.25, 41,283.29 and 7,800.98

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Solution

The fourth proportional to 27,522.25, 41,283.29 and 7,800.98 is: 11,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522.25 : 41,283.29 = 7,800.98 : x
  2. Step 2: Convert to fraction form
    27,522.25/41,283.29 = 7,800.98/x
  3. Step 3: Cross multiply
    27,522.25x = 41,283.29 × 7,800.98
  4. Step 4: Simplify right side
    27,522.25x = 322,049,874.20
  5. Step 5: Solve for x
    x = 322,049,874.20/27,522.25
  6. Step 6: Final answer
    x = 11,701.44

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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.