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Finding the Fourth Proportional to 7,141.69, 10,719.46 and 3,446.52

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Solution

The fourth proportional to 7,141.69, 10,719.46 and 3,446.52 is: 5,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.69 : 10,719.46 = 3,446.52 : x
  2. Step 2: Convert to fraction form
    7,141.69/10,719.46 = 3,446.52/x
  3. Step 3: Cross multiply
    7,141.69x = 10,719.46 × 3,446.52
  4. Step 4: Simplify right side
    7,141.69x = 36,944,833.28
  5. Step 5: Solve for x
    x = 36,944,833.28/7,141.69
  6. Step 6: Final answer
    x = 5,173.12

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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.