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Finding the Fourth Proportional to 7,905.70, 11,862.24 and 3,522.70

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Solution

The fourth proportional to 7,905.70, 11,862.24 and 3,522.70 is: 5,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.70 : 11,862.24 = 3,522.70 : x
  2. Step 2: Convert to fraction form
    7,905.70/11,862.24 = 3,522.70/x
  3. Step 3: Cross multiply
    7,905.70x = 11,862.24 × 3,522.70
  4. Step 4: Simplify right side
    7,905.70x = 41,787,112.85
  5. Step 5: Solve for x
    x = 41,787,112.85/7,905.70
  6. Step 6: Final answer
    x = 5,285.69

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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.