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Finding the Fourth Proportional to 7,141.44, 10,689.84 and 6,091.68

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Solution

The fourth proportional to 7,141.44, 10,689.84 and 6,091.68 is: 9,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.44 : 10,689.84 = 6,091.68 : x
  2. Step 2: Convert to fraction form
    7,141.44/10,689.84 = 6,091.68/x
  3. Step 3: Cross multiply
    7,141.44x = 10,689.84 × 6,091.68
  4. Step 4: Simplify right side
    7,141.44x = 65,119,084.53
  5. Step 5: Solve for x
    x = 65,119,084.53/7,141.44
  6. Step 6: Final answer
    x = 9,118.48

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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.