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Finding the Fourth Proportional to 8,715.76, 13,073.43 and 2,141.93

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Solution

The fourth proportional to 8,715.76, 13,073.43 and 2,141.93 is: 3,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.76 : 13,073.43 = 2,141.93 : x
  2. Step 2: Convert to fraction form
    8,715.76/13,073.43 = 2,141.93/x
  3. Step 3: Cross multiply
    8,715.76x = 13,073.43 × 2,141.93
  4. Step 4: Simplify right side
    8,715.76x = 28,002,371.92
  5. Step 5: Solve for x
    x = 28,002,371.92/8,715.76
  6. Step 6: Final answer
    x = 3,212.84

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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.