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Finding the Fourth Proportional to 25,086.38, 37,620.86 and 7,312.28

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Solution

The fourth proportional to 25,086.38, 37,620.86 and 7,312.28 is: 10,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,086.38 : 37,620.86 = 7,312.28 : x
  2. Step 2: Convert to fraction form
    25,086.38/37,620.86 = 7,312.28/x
  3. Step 3: Cross multiply
    25,086.38x = 37,620.86 × 7,312.28
  4. Step 4: Simplify right side
    25,086.38x = 275,094,037.50
  5. Step 5: Solve for x
    x = 275,094,037.50/25,086.38
  6. Step 6: Final answer
    x = 10,965.87

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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.