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Finding the Fourth Proportional to 7,890.56, 11,828.48 and 4,960

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Solution

The fourth proportional to 7,890.56, 11,828.48 and 4,960 is: 7,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.56 : 11,828.48 = 4,960 : x
  2. Step 2: Convert to fraction form
    7,890.56/11,828.48 = 4,960/x
  3. Step 3: Cross multiply
    7,890.56x = 11,828.48 × 4,960
  4. Step 4: Simplify right side
    7,890.56x = 58,669,260.80
  5. Step 5: Solve for x
    x = 58,669,260.80/7,890.56
  6. Step 6: Final answer
    x = 7,435.37

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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.