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Finding the Fourth Proportional to 7,143.71, 10,717.26 and 2,981.40

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Solution

The fourth proportional to 7,143.71, 10,717.26 and 2,981.40 is: 4,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.71 : 10,717.26 = 2,981.40 : x
  2. Step 2: Convert to fraction form
    7,143.71/10,717.26 = 2,981.40/x
  3. Step 3: Cross multiply
    7,143.71x = 10,717.26 × 2,981.40
  4. Step 4: Simplify right side
    7,143.71x = 31,952,438.96
  5. Step 5: Solve for x
    x = 31,952,438.96/7,143.71
  6. Step 6: Final answer
    x = 4,472.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.