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Finding the Fourth Proportional to 25,753.72, 38,627.58 and 7,033

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Solution

The fourth proportional to 25,753.72, 38,627.58 and 7,033 is: 10,548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,753.72 : 38,627.58 = 7,033 : x
  2. Step 2: Convert to fraction form
    25,753.72/38,627.58 = 7,033/x
  3. Step 3: Cross multiply
    25,753.72x = 38,627.58 × 7,033
  4. Step 4: Simplify right side
    25,753.72x = 271,667,770.14
  5. Step 5: Solve for x
    x = 271,667,770.14/25,753.72
  6. Step 6: Final answer
    x = 10,548.68

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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.