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Finding the Fourth Proportional to 25,864, 38,796 and 7,397.44

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Solution

The fourth proportional to 25,864, 38,796 and 7,397.44 is: 11,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864 : 38,796 = 7,397.44 : x
  2. Step 2: Convert to fraction form
    25,864/38,796 = 7,397.44/x
  3. Step 3: Cross multiply
    25,864x = 38,796 × 7,397.44
  4. Step 4: Simplify right side
    25,864x = 286,991,082.24
  5. Step 5: Solve for x
    x = 286,991,082.24/25,864
  6. Step 6: Final answer
    x = 11,096.16

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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.