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Finding the Fourth Proportional to 7,689.60, 11,538.24 and 5,091.84

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Solution

The fourth proportional to 7,689.60, 11,538.24 and 5,091.84 is: 7,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.60 : 11,538.24 = 5,091.84 : x
  2. Step 2: Convert to fraction form
    7,689.60/11,538.24 = 5,091.84/x
  3. Step 3: Cross multiply
    7,689.60x = 11,538.24 × 5,091.84
  4. Step 4: Simplify right side
    7,689.60x = 58,750,871.96
  5. Step 5: Solve for x
    x = 58,750,871.96/7,689.60
  6. Step 6: Final answer
    x = 7,640.30

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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.