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Finding the Fourth Proportional to 25,730.29, 38,590.03 and 7,257.97

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Solution

The fourth proportional to 25,730.29, 38,590.03 and 7,257.97 is: 10,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730.29 : 38,590.03 = 7,257.97 : x
  2. Step 2: Convert to fraction form
    25,730.29/38,590.03 = 7,257.97/x
  3. Step 3: Cross multiply
    25,730.29x = 38,590.03 × 7,257.97
  4. Step 4: Simplify right side
    25,730.29x = 280,085,280.04
  5. Step 5: Solve for x
    x = 280,085,280.04/25,730.29
  6. Step 6: Final answer
    x = 10,885.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.