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Finding the Fourth Proportional to 28,633.50, 42,952.68 and 7,857

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Solution

The fourth proportional to 28,633.50, 42,952.68 and 7,857 is: 11,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,633.50 : 42,952.68 = 7,857 : x
  2. Step 2: Convert to fraction form
    28,633.50/42,952.68 = 7,857/x
  3. Step 3: Cross multiply
    28,633.50x = 42,952.68 × 7,857
  4. Step 4: Simplify right side
    28,633.50x = 337,479,206.76
  5. Step 5: Solve for x
    x = 337,479,206.76/28,633.50
  6. Step 6: Final answer
    x = 11,786.17

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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.