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Finding the Fourth Proportional to 11,898.25, 17,847.50 and 4,876.46

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Solution

The fourth proportional to 11,898.25, 17,847.50 and 4,876.46 is: 7,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.25 : 17,847.50 = 4,876.46 : x
  2. Step 2: Convert to fraction form
    11,898.25/17,847.50 = 4,876.46/x
  3. Step 3: Cross multiply
    11,898.25x = 17,847.50 × 4,876.46
  4. Step 4: Simplify right side
    11,898.25x = 87,032,619.85
  5. Step 5: Solve for x
    x = 87,032,619.85/11,898.25
  6. Step 6: Final answer
    x = 7,314.74

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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.