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Finding the Fourth Proportional to 25,857, 38,785.50 and 7,389

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Solution

The fourth proportional to 25,857, 38,785.50 and 7,389 is: 11,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857 : 38,785.50 = 7,389 : x
  2. Step 2: Convert to fraction form
    25,857/38,785.50 = 7,389/x
  3. Step 3: Cross multiply
    25,857x = 38,785.50 × 7,389
  4. Step 4: Simplify right side
    25,857x = 286,586,059.50
  5. Step 5: Solve for x
    x = 286,586,059.50/25,857
  6. Step 6: Final answer
    x = 11,083.50

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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.