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Finding the Fourth Proportional to 7,143.91, 10,719.91 and 3,856.93

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Solution

The fourth proportional to 7,143.91, 10,719.91 and 3,856.93 is: 5,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.91 : 10,719.91 = 3,856.93 : x
  2. Step 2: Convert to fraction form
    7,143.91/10,719.91 = 3,856.93/x
  3. Step 3: Cross multiply
    7,143.91x = 10,719.91 × 3,856.93
  4. Step 4: Simplify right side
    7,143.91x = 41,345,942.48
  5. Step 5: Solve for x
    x = 41,345,942.48/7,143.91
  6. Step 6: Final answer
    x = 5,787.58

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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.