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Finding the Fourth Proportional to 7,142.43, 10,709.72 and 2,210.70

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Solution

The fourth proportional to 7,142.43, 10,709.72 and 2,210.70 is: 3,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.43 : 10,709.72 = 2,210.70 : x
  2. Step 2: Convert to fraction form
    7,142.43/10,709.72 = 2,210.70/x
  3. Step 3: Cross multiply
    7,142.43x = 10,709.72 × 2,210.70
  4. Step 4: Simplify right side
    7,142.43x = 23,675,966.95
  5. Step 5: Solve for x
    x = 23,675,966.95/7,142.43
  6. Step 6: Final answer
    x = 3,314.83

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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.