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Finding the Fourth Proportional to 7,141.64, 10,705.01 and 2,984.04

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Solution

The fourth proportional to 7,141.64, 10,705.01 and 2,984.04 is: 4,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.64 : 10,705.01 = 2,984.04 : x
  2. Step 2: Convert to fraction form
    7,141.64/10,705.01 = 2,984.04/x
  3. Step 3: Cross multiply
    7,141.64x = 10,705.01 × 2,984.04
  4. Step 4: Simplify right side
    7,141.64x = 31,944,163.12
  5. Step 5: Solve for x
    x = 31,944,163.12/7,141.64
  6. Step 6: Final answer
    x = 4,472.95

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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.