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Finding the Fourth Proportional to 7,446.60, 11,166.08 and 3,938.50

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Solution

The fourth proportional to 7,446.60, 11,166.08 and 3,938.50 is: 5,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.60 : 11,166.08 = 3,938.50 : x
  2. Step 2: Convert to fraction form
    7,446.60/11,166.08 = 3,938.50/x
  3. Step 3: Cross multiply
    7,446.60x = 11,166.08 × 3,938.50
  4. Step 4: Simplify right side
    7,446.60x = 43,977,606.08
  5. Step 5: Solve for x
    x = 43,977,606.08/7,446.60
  6. Step 6: Final answer
    x = 5,905.73

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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.